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Finding the Third Proportional to 861,734 and 1,851,404

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Solution

The third proportional to 861,734 and 1,851,404 is: 3,977,673.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,734 : 1,851,404 = 1,851,404 : x
  2. Step 2: Convert to fraction form
    861,734/1,851,404 = 1,851,404/x
  3. Step 3: Cross multiply
    861,734x = 1,851,404 × 1,851,404
  4. Step 4: Simplify right side
    861,734x = 3,427,696,771,216
  5. Step 5: Solve for x
    x = 3,427,696,771,216/861,734
  6. Step 6: Final answer
    x = 3,977,673.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.