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Finding the Third Proportional to 798,103.13 and 1,729,070.30

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Solution

The third proportional to 798,103.13 and 1,729,070.30 is: 3,745,987.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,103.13 : 1,729,070.30 = 1,729,070.30 : x
  2. Step 2: Convert to fraction form
    798,103.13/1,729,070.30 = 1,729,070.30/x
  3. Step 3: Cross multiply
    798,103.13x = 1,729,070.30 × 1,729,070.30
  4. Step 4: Simplify right side
    798,103.13x = 2,989,684,091,535.40
  5. Step 5: Solve for x
    x = 2,989,684,091,535.40/798,103.13
  6. Step 6: Final answer
    x = 3,745,987.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.