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Finding the Third Proportional to 1,385,527.15 and 2,206,349.82

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Solution

The third proportional to 1,385,527.15 and 2,206,349.82 is: 3,513,449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385,527.15 : 2,206,349.82 = 2,206,349.82 : x
  2. Step 2: Convert to fraction form
    1,385,527.15/2,206,349.82 = 2,206,349.82/x
  3. Step 3: Cross multiply
    1,385,527.15x = 2,206,349.82 × 2,206,349.82
  4. Step 4: Simplify right side
    1,385,527.15x = 4,867,979,546,830.33
  5. Step 5: Solve for x
    x = 4,867,979,546,830.33/1,385,527.15
  6. Step 6: Final answer
    x = 3,513,449.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.