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Finding the Third Proportional to 753,886.13 and 1,165,822.88

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Solution

The third proportional to 753,886.13 and 1,165,822.88 is: 1,802,849.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,886.13 : 1,165,822.88 = 1,165,822.88 : x
  2. Step 2: Convert to fraction form
    753,886.13/1,165,822.88 = 1,165,822.88/x
  3. Step 3: Cross multiply
    753,886.13x = 1,165,822.88 × 1,165,822.88
  4. Step 4: Simplify right side
    753,886.13x = 1,359,142,975,873.27
  5. Step 5: Solve for x
    x = 1,359,142,975,873.27/753,886.13
  6. Step 6: Final answer
    x = 1,802,849.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.