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Finding the Third Proportional to 1,681,830 and 3,948,381

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Solution

The third proportional to 1,681,830 and 3,948,381 is: 9,269,493.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,830 : 3,948,381 = 3,948,381 : x
  2. Step 2: Convert to fraction form
    1,681,830/3,948,381 = 3,948,381/x
  3. Step 3: Cross multiply
    1,681,830x = 3,948,381 × 3,948,381
  4. Step 4: Simplify right side
    1,681,830x = 15,589,712,521,161
  5. Step 5: Solve for x
    x = 15,589,712,521,161/1,681,830
  6. Step 6: Final answer
    x = 9,269,493.66

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.