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Finding the Third Proportional to 1,427,676 and 1,957,614

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Solution

The third proportional to 1,427,676 and 1,957,614 is: 2,684,259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,676 : 1,957,614 = 1,957,614 : x
  2. Step 2: Convert to fraction form
    1,427,676/1,957,614 = 1,957,614/x
  3. Step 3: Cross multiply
    1,427,676x = 1,957,614 × 1,957,614
  4. Step 4: Simplify right side
    1,427,676x = 3,832,252,572,996
  5. Step 5: Solve for x
    x = 3,832,252,572,996/1,427,676
  6. Step 6: Final answer
    x = 2,684,259.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.