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Finding the Third Proportional to 753,686.25 and 1,656,807.75

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Solution

The third proportional to 753,686.25 and 1,656,807.75 is: 3,642,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,686.25 : 1,656,807.75 = 1,656,807.75 : x
  2. Step 2: Convert to fraction form
    753,686.25/1,656,807.75 = 1,656,807.75/x
  3. Step 3: Cross multiply
    753,686.25x = 1,656,807.75 × 1,656,807.75
  4. Step 4: Simplify right side
    753,686.25x = 2,745,011,920,460.06
  5. Step 5: Solve for x
    x = 2,745,011,920,460.06/753,686.25
  6. Step 6: Final answer
    x = 3,642,114.90

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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.