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Finding the Third Proportional to 866,442 and 1,932,107.25

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Solution

The third proportional to 866,442 and 1,932,107.25 is: 4,308,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,442 : 1,932,107.25 = 1,932,107.25 : x
  2. Step 2: Convert to fraction form
    866,442/1,932,107.25 = 1,932,107.25/x
  3. Step 3: Cross multiply
    866,442x = 1,932,107.25 × 1,932,107.25
  4. Step 4: Simplify right side
    866,442x = 3,733,038,425,502.56
  5. Step 5: Solve for x
    x = 3,733,038,425,502.56/866,442
  6. Step 6: Final answer
    x = 4,308,468.92

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.