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Finding the Third Proportional to 682,988 and 1,002,337

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Solution

The third proportional to 682,988 and 1,002,337 is: 1,471,006.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,988 : 1,002,337 = 1,002,337 : x
  2. Step 2: Convert to fraction form
    682,988/1,002,337 = 1,002,337/x
  3. Step 3: Cross multiply
    682,988x = 1,002,337 × 1,002,337
  4. Step 4: Simplify right side
    682,988x = 1,004,679,461,569
  5. Step 5: Solve for x
    x = 1,004,679,461,569/682,988
  6. Step 6: Final answer
    x = 1,471,006.02

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.