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Finding the Third Proportional to 687,024 and 1,513,530

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Solution

The third proportional to 687,024 and 1,513,530 is: 3,334,342.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,024 : 1,513,530 = 1,513,530 : x
  2. Step 2: Convert to fraction form
    687,024/1,513,530 = 1,513,530/x
  3. Step 3: Cross multiply
    687,024x = 1,513,530 × 1,513,530
  4. Step 4: Simplify right side
    687,024x = 2,290,773,060,900
  5. Step 5: Solve for x
    x = 2,290,773,060,900/687,024
  6. Step 6: Final answer
    x = 3,334,342.12

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.