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Finding the Third Proportional to 540,145.97 and 1,179,952.31

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Solution

The third proportional to 540,145.97 and 1,179,952.31 is: 2,577,613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,145.97 : 1,179,952.31 = 1,179,952.31 : x
  2. Step 2: Convert to fraction form
    540,145.97/1,179,952.31 = 1,179,952.31/x
  3. Step 3: Cross multiply
    540,145.97x = 1,179,952.31 × 1,179,952.31
  4. Step 4: Simplify right side
    540,145.97x = 1,392,287,459,774.10
  5. Step 5: Solve for x
    x = 1,392,287,459,774.10/540,145.97
  6. Step 6: Final answer
    x = 2,577,613.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.