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Finding the Third Proportional to 715,159.13 and 1,080,028.69

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Solution

The third proportional to 715,159.13 and 1,080,028.69 is: 1,631,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,159.13 : 1,080,028.69 = 1,080,028.69 : x
  2. Step 2: Convert to fraction form
    715,159.13/1,080,028.69 = 1,080,028.69/x
  3. Step 3: Cross multiply
    715,159.13x = 1,080,028.69 × 1,080,028.69
  4. Step 4: Simplify right side
    715,159.13x = 1,166,461,965,822.97
  5. Step 5: Solve for x
    x = 1,166,461,965,822.97/715,159.13
  6. Step 6: Final answer
    x = 1,631,052.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.