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Finding the Third Proportional to 861,468 and 1,894,080

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Solution

The third proportional to 861,468 and 1,894,080 is: 4,164,448.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,468 : 1,894,080 = 1,894,080 : x
  2. Step 2: Convert to fraction form
    861,468/1,894,080 = 1,894,080/x
  3. Step 3: Cross multiply
    861,468x = 1,894,080 × 1,894,080
  4. Step 4: Simplify right side
    861,468x = 3,587,539,046,400
  5. Step 5: Solve for x
    x = 3,587,539,046,400/861,468
  6. Step 6: Final answer
    x = 4,164,448.41

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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.