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Finding the Third Proportional to 861,472 and 1,894,088

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Solution

The third proportional to 861,472 and 1,894,088 is: 4,164,464.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,472 : 1,894,088 = 1,894,088 : x
  2. Step 2: Convert to fraction form
    861,472/1,894,088 = 1,894,088/x
  3. Step 3: Cross multiply
    861,472x = 1,894,088 × 1,894,088
  4. Step 4: Simplify right side
    861,472x = 3,587,569,351,744
  5. Step 5: Solve for x
    x = 3,587,569,351,744/861,472
  6. Step 6: Final answer
    x = 4,164,464.26

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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.