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Finding the Third Proportional to 1,069,464 and 1,427,172

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Solution

The third proportional to 1,069,464 and 1,427,172 is: 1,904,524.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,464 : 1,427,172 = 1,427,172 : x
  2. Step 2: Convert to fraction form
    1,069,464/1,427,172 = 1,427,172/x
  3. Step 3: Cross multiply
    1,069,464x = 1,427,172 × 1,427,172
  4. Step 4: Simplify right side
    1,069,464x = 2,036,819,917,584
  5. Step 5: Solve for x
    x = 2,036,819,917,584/1,069,464
  6. Step 6: Final answer
    x = 1,904,524.06

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.