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Finding the Third Proportional to 730,150 and 1,597,942.50

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Solution

The third proportional to 730,150 and 1,597,942.50 is: 3,497,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,150 : 1,597,942.50 = 1,597,942.50 : x
  2. Step 2: Convert to fraction form
    730,150/1,597,942.50 = 1,597,942.50/x
  3. Step 3: Cross multiply
    730,150x = 1,597,942.50 × 1,597,942.50
  4. Step 4: Simplify right side
    730,150x = 2,553,420,233,306.25
  5. Step 5: Solve for x
    x = 2,553,420,233,306.25/730,150
  6. Step 6: Final answer
    x = 3,497,117.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.