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Finding the Third Proportional to 683,330,766 and 1,020,518,334.50

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Solution

The third proportional to 683,330,766 and 1,020,518,334.50 is: 1,524,090,122.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,330,766 : 1,020,518,334.50 = 1,020,518,334.50 : x
  2. Step 2: Convert to fraction form
    683,330,766/1,020,518,334.50 = 1,020,518,334.50/x
  3. Step 3: Cross multiply
    683,330,766x = 1,020,518,334.50 × 1,020,518,334.50
  4. Step 4: Simplify right side
    683,330,766x = 1,041,457,671,050,653,952
  5. Step 5: Solve for x
    x = 1,041,457,671,050,653,952/683,330,766
  6. Step 6: Final answer
    x = 1,524,090,122.78

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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.