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Finding the Third Proportional to 683,449 and 1,495,566

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Solution

The third proportional to 683,449 and 1,495,566 is: 3,272,691.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,449 : 1,495,566 = 1,495,566 : x
  2. Step 2: Convert to fraction form
    683,449/1,495,566 = 1,495,566/x
  3. Step 3: Cross multiply
    683,449x = 1,495,566 × 1,495,566
  4. Step 4: Simplify right side
    683,449x = 2,236,717,660,356
  5. Step 5: Solve for x
    x = 2,236,717,660,356/683,449
  6. Step 6: Final answer
    x = 3,272,691.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.