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Finding the Third Proportional to 731,662.88 and 1,126,021.50

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Solution

The third proportional to 731,662.88 and 1,126,021.50 is: 1,732,935.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,662.88 : 1,126,021.50 = 1,126,021.50 : x
  2. Step 2: Convert to fraction form
    731,662.88/1,126,021.50 = 1,126,021.50/x
  3. Step 3: Cross multiply
    731,662.88x = 1,126,021.50 × 1,126,021.50
  4. Step 4: Simplify right side
    731,662.88x = 1,267,924,418,462.25
  5. Step 5: Solve for x
    x = 1,267,924,418,462.25/731,662.88
  6. Step 6: Final answer
    x = 1,732,935.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.