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Finding the Third Proportional to 1,427,412 and 2,101,686

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Solution

The third proportional to 1,427,412 and 2,101,686 is: 3,094,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,412 : 2,101,686 = 2,101,686 : x
  2. Step 2: Convert to fraction form
    1,427,412/2,101,686 = 2,101,686/x
  3. Step 3: Cross multiply
    1,427,412x = 2,101,686 × 2,101,686
  4. Step 4: Simplify right side
    1,427,412x = 4,417,084,042,596
  5. Step 5: Solve for x
    x = 4,417,084,042,596/1,427,412
  6. Step 6: Final answer
    x = 3,094,470.30

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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.