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Finding the Third Proportional to 683,330,674.50 and 1,020,518,205.75

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Solution

The third proportional to 683,330,674.50 and 1,020,518,205.75 is: 1,524,089,942.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,330,674.50 : 1,020,518,205.75 = 1,020,518,205.75 : x
  2. Step 2: Convert to fraction form
    683,330,674.50/1,020,518,205.75 = 1,020,518,205.75/x
  3. Step 3: Cross multiply
    683,330,674.50x = 1,020,518,205.75 × 1,020,518,205.75
  4. Step 4: Simplify right side
    683,330,674.50x = 1,041,457,408,267,199,360
  5. Step 5: Solve for x
    x = 1,041,457,408,267,199,360/683,330,674.50
  6. Step 6: Final answer
    x = 1,524,089,942.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.