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Finding the Third Proportional to 1,106,874 and 1,692,432

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Solution

The third proportional to 1,106,874 and 1,692,432 is: 2,587,761.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106,874 : 1,692,432 = 1,692,432 : x
  2. Step 2: Convert to fraction form
    1,106,874/1,692,432 = 1,692,432/x
  3. Step 3: Cross multiply
    1,106,874x = 1,692,432 × 1,692,432
  4. Step 4: Simplify right side
    1,106,874x = 2,864,326,074,624
  5. Step 5: Solve for x
    x = 2,864,326,074,624/1,106,874
  6. Step 6: Final answer
    x = 2,587,761.64

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.