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Finding the Third Proportional to 686,892 and 1,010,472

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Solution

The third proportional to 686,892 and 1,010,472 is: 1,486,483.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,892 : 1,010,472 = 1,010,472 : x
  2. Step 2: Convert to fraction form
    686,892/1,010,472 = 1,010,472/x
  3. Step 3: Cross multiply
    686,892x = 1,010,472 × 1,010,472
  4. Step 4: Simplify right side
    686,892x = 1,021,053,662,784
  5. Step 5: Solve for x
    x = 1,021,053,662,784/686,892
  6. Step 6: Final answer
    x = 1,486,483.56

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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.