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Finding the Third Proportional to 1,838,982 and 2,854,137

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Solution

The third proportional to 1,838,982 and 2,854,137 is: 4,429,677.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838,982 : 2,854,137 = 2,854,137 : x
  2. Step 2: Convert to fraction form
    1,838,982/2,854,137 = 2,854,137/x
  3. Step 3: Cross multiply
    1,838,982x = 2,854,137 × 2,854,137
  4. Step 4: Simplify right side
    1,838,982x = 8,146,098,014,769
  5. Step 5: Solve for x
    x = 8,146,098,014,769/1,838,982
  6. Step 6: Final answer
    x = 4,429,677.95

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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.