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Finding the Third Proportional to 1,020,286.13 and 2,241,766.13

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Solution

The third proportional to 1,020,286.13 and 2,241,766.13 is: 4,925,594.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,286.13 : 2,241,766.13 = 2,241,766.13 : x
  2. Step 2: Convert to fraction form
    1,020,286.13/2,241,766.13 = 2,241,766.13/x
  3. Step 3: Cross multiply
    1,020,286.13x = 2,241,766.13 × 2,241,766.13
  4. Step 4: Simplify right side
    1,020,286.13x = 5,025,515,359,197.52
  5. Step 5: Solve for x
    x = 5,025,515,359,197.52/1,020,286.13
  6. Step 6: Final answer
    x = 4,925,594.14

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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.