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Finding the Third Proportional to 712,243.13 and 1,450,861.88

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Solution

The third proportional to 712,243.13 and 1,450,861.88 is: 2,955,451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,243.13 : 1,450,861.88 = 1,450,861.88 : x
  2. Step 2: Convert to fraction form
    712,243.13/1,450,861.88 = 1,450,861.88/x
  3. Step 3: Cross multiply
    712,243.13x = 1,450,861.88 × 1,450,861.88
  4. Step 4: Simplify right side
    712,243.13x = 2,105,000,180,328.52
  5. Step 5: Solve for x
    x = 2,105,000,180,328.52/712,243.13
  6. Step 6: Final answer
    x = 2,955,451.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.