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Finding the Third Proportional to 1,086,269 and 1,643,384

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Solution

The third proportional to 1,086,269 and 1,643,384 is: 2,486,226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,269 : 1,643,384 = 1,643,384 : x
  2. Step 2: Convert to fraction form
    1,086,269/1,643,384 = 1,643,384/x
  3. Step 3: Cross multiply
    1,086,269x = 1,643,384 × 1,643,384
  4. Step 4: Simplify right side
    1,086,269x = 2,700,710,971,456
  5. Step 5: Solve for x
    x = 2,700,710,971,456/1,086,269
  6. Step 6: Final answer
    x = 2,486,226.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.