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Finding the Third Proportional to 1,427,406 and 2,101,681

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Solution

The third proportional to 1,427,406 and 2,101,681 is: 3,094,468.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,406 : 2,101,681 = 2,101,681 : x
  2. Step 2: Convert to fraction form
    1,427,406/2,101,681 = 2,101,681/x
  3. Step 3: Cross multiply
    1,427,406x = 2,101,681 × 2,101,681
  4. Step 4: Simplify right side
    1,427,406x = 4,417,063,025,761
  5. Step 5: Solve for x
    x = 4,417,063,025,761/1,427,406
  6. Step 6: Final answer
    x = 3,094,468.59

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.