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Finding the Third Proportional to 711,363 and 1,040,418

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Solution

The third proportional to 711,363 and 1,040,418 is: 1,521,683.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,363 : 1,040,418 = 1,040,418 : x
  2. Step 2: Convert to fraction form
    711,363/1,040,418 = 1,040,418/x
  3. Step 3: Cross multiply
    711,363x = 1,040,418 × 1,040,418
  4. Step 4: Simplify right side
    711,363x = 1,082,469,614,724
  5. Step 5: Solve for x
    x = 1,082,469,614,724/711,363
  6. Step 6: Final answer
    x = 1,521,683.89

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.