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Finding the Third Proportional to 730,454.20 and 1,601,013.09

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Solution

The third proportional to 730,454.20 and 1,601,013.09 is: 3,509,108.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,454.20 : 1,601,013.09 = 1,601,013.09 : x
  2. Step 2: Convert to fraction form
    730,454.20/1,601,013.09 = 1,601,013.09/x
  3. Step 3: Cross multiply
    730,454.20x = 1,601,013.09 × 1,601,013.09
  4. Step 4: Simplify right side
    730,454.20x = 2,563,242,926,358.95
  5. Step 5: Solve for x
    x = 2,563,242,926,358.95/730,454.20
  6. Step 6: Final answer
    x = 3,509,108.33

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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.