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Finding the Third Proportional to 447,632 and 915,948

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Solution

The third proportional to 447,632 and 915,948 is: 1,874,219.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,632 : 915,948 = 915,948 : x
  2. Step 2: Convert to fraction form
    447,632/915,948 = 915,948/x
  3. Step 3: Cross multiply
    447,632x = 915,948 × 915,948
  4. Step 4: Simplify right side
    447,632x = 838,960,738,704
  5. Step 5: Solve for x
    x = 838,960,738,704/447,632
  6. Step 6: Final answer
    x = 1,874,219.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.