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Finding the Third Proportional to 753,117.75 and 1,655,498.25

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Solution

The third proportional to 753,117.75 and 1,655,498.25 is: 3,639,104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,117.75 : 1,655,498.25 = 1,655,498.25 : x
  2. Step 2: Convert to fraction form
    753,117.75/1,655,498.25 = 1,655,498.25/x
  3. Step 3: Cross multiply
    753,117.75x = 1,655,498.25 × 1,655,498.25
  4. Step 4: Simplify right side
    753,117.75x = 2,740,674,455,753.06
  5. Step 5: Solve for x
    x = 2,740,674,455,753.06/753,117.75
  6. Step 6: Final answer
    x = 3,639,104.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.