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Finding the Third Proportional to 802,630.13 and 1,175,149.69

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Solution

The third proportional to 802,630.13 and 1,175,149.69 is: 1,720,564.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,630.13 : 1,175,149.69 = 1,175,149.69 : x
  2. Step 2: Convert to fraction form
    802,630.13/1,175,149.69 = 1,175,149.69/x
  3. Step 3: Cross multiply
    802,630.13x = 1,175,149.69 × 1,175,149.69
  4. Step 4: Simplify right side
    802,630.13x = 1,380,976,788,031.35
  5. Step 5: Solve for x
    x = 1,380,976,788,031.35/802,630.13
  6. Step 6: Final answer
    x = 1,720,564.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.