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Finding the Third Proportional to 712,668.38 and 1,536,732

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Solution

The third proportional to 712,668.38 and 1,536,732 is: 3,313,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,668.38 : 1,536,732 = 1,536,732 : x
  2. Step 2: Convert to fraction form
    712,668.38/1,536,732 = 1,536,732/x
  3. Step 3: Cross multiply
    712,668.38x = 1,536,732 × 1,536,732
  4. Step 4: Simplify right side
    712,668.38x = 2,361,545,239,824
  5. Step 5: Solve for x
    x = 2,361,545,239,824/712,668.38
  6. Step 6: Final answer
    x = 3,313,666.39

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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.