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Finding the Third Proportional to 683,330,675.50 and 1,020,518,207

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Solution

The third proportional to 683,330,675.50 and 1,020,518,207 is: 1,524,089,943.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,330,675.50 : 1,020,518,207 = 1,020,518,207 : x
  2. Step 2: Convert to fraction form
    683,330,675.50/1,020,518,207 = 1,020,518,207/x
  3. Step 3: Cross multiply
    683,330,675.50x = 1,020,518,207 × 1,020,518,207
  4. Step 4: Simplify right side
    683,330,675.50x = 1,041,457,410,818,494,848
  5. Step 5: Solve for x
    x = 1,041,457,410,818,494,848/683,330,675.50
  6. Step 6: Final answer
    x = 1,524,089,943.80

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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.