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Finding the Third Proportional to 730,146.94 and 1,597,937.06

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Solution

The third proportional to 730,146.94 and 1,597,937.06 is: 3,497,108.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,146.94 : 1,597,937.06 = 1,597,937.06 : x
  2. Step 2: Convert to fraction form
    730,146.94/1,597,937.06 = 1,597,937.06/x
  3. Step 3: Cross multiply
    730,146.94x = 1,597,937.06 × 1,597,937.06
  4. Step 4: Simplify right side
    730,146.94x = 2,553,402,855,711.13
  5. Step 5: Solve for x
    x = 2,553,402,855,711.13/730,146.94
  6. Step 6: Final answer
    x = 3,497,108.22

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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.