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Finding the Third Proportional to 713,306 and 1,451,523

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Solution

The third proportional to 713,306 and 1,451,523 is: 2,953,737.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,306 : 1,451,523 = 1,451,523 : x
  2. Step 2: Convert to fraction form
    713,306/1,451,523 = 1,451,523/x
  3. Step 3: Cross multiply
    713,306x = 1,451,523 × 1,451,523
  4. Step 4: Simplify right side
    713,306x = 2,106,919,019,529
  5. Step 5: Solve for x
    x = 2,106,919,019,529/713,306
  6. Step 6: Final answer
    x = 2,953,737.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.