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Finding the Third Proportional to 1,783,381 and 3,865,478

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Solution

The third proportional to 1,783,381 and 3,865,478 is: 8,378,422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783,381 : 3,865,478 = 3,865,478 : x
  2. Step 2: Convert to fraction form
    1,783,381/3,865,478 = 3,865,478/x
  3. Step 3: Cross multiply
    1,783,381x = 3,865,478 × 3,865,478
  4. Step 4: Simplify right side
    1,783,381x = 14,941,920,168,484
  5. Step 5: Solve for x
    x = 14,941,920,168,484/1,783,381
  6. Step 6: Final answer
    x = 8,378,422.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.