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Finding the Third Proportional to 712,683.56 and 1,536,767.44

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Solution

The third proportional to 712,683.56 and 1,536,767.44 is: 3,313,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,683.56 : 1,536,767.44 = 1,536,767.44 : x
  2. Step 2: Convert to fraction form
    712,683.56/1,536,767.44 = 1,536,767.44/x
  3. Step 3: Cross multiply
    712,683.56x = 1,536,767.44 × 1,536,767.44
  4. Step 4: Simplify right side
    712,683.56x = 2,361,654,156,960.32
  5. Step 5: Solve for x
    x = 2,361,654,156,960.32/712,683.56
  6. Step 6: Final answer
    x = 3,313,748.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.