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Finding the Third Proportional to 4,013,842.50 and 5,721,817.50

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Solution

The third proportional to 4,013,842.50 and 5,721,817.50 is: 8,156,572.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,013,842.50 : 5,721,817.50 = 5,721,817.50 : x
  2. Step 2: Convert to fraction form
    4,013,842.50/5,721,817.50 = 5,721,817.50/x
  3. Step 3: Cross multiply
    4,013,842.50x = 5,721,817.50 × 5,721,817.50
  4. Step 4: Simplify right side
    4,013,842.50x = 32,739,195,503,306.25
  5. Step 5: Solve for x
    x = 32,739,195,503,306.25/4,013,842.50
  6. Step 6: Final answer
    x = 8,156,572.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.