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Finding the Third Proportional to 1,641,275.16 and 3,535,353.84

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Solution

The third proportional to 1,641,275.16 and 3,535,353.84 is: 7,615,253.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641,275.16 : 3,535,353.84 = 3,535,353.84 : x
  2. Step 2: Convert to fraction form
    1,641,275.16/3,535,353.84 = 3,535,353.84/x
  3. Step 3: Cross multiply
    1,641,275.16x = 3,535,353.84 × 3,535,353.84
  4. Step 4: Simplify right side
    1,641,275.16x = 12,498,726,800,517.90
  5. Step 5: Solve for x
    x = 12,498,726,800,517.90/1,641,275.16
  6. Step 6: Final answer
    x = 7,615,253.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.