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Finding the Third Proportional to 3,918,384 and 5,643,846

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Solution

The third proportional to 3,918,384 and 5,643,846 is: 8,129,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918,384 : 5,643,846 = 5,643,846 : x
  2. Step 2: Convert to fraction form
    3,918,384/5,643,846 = 5,643,846/x
  3. Step 3: Cross multiply
    3,918,384x = 5,643,846 × 5,643,846
  4. Step 4: Simplify right side
    3,918,384x = 31,852,997,671,716
  5. Step 5: Solve for x
    x = 31,852,997,671,716/3,918,384
  6. Step 6: Final answer
    x = 8,129,115.90

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.