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Finding the Third Proportional to 2,053,408 and 3,173,424

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Solution

The third proportional to 2,053,408 and 3,173,424 is: 4,904,344.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053,408 : 3,173,424 = 3,173,424 : x
  2. Step 2: Convert to fraction form
    2,053,408/3,173,424 = 3,173,424/x
  3. Step 3: Cross multiply
    2,053,408x = 3,173,424 × 3,173,424
  4. Step 4: Simplify right side
    2,053,408x = 10,070,619,883,776
  5. Step 5: Solve for x
    x = 10,070,619,883,776/2,053,408
  6. Step 6: Final answer
    x = 4,904,344.33

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.