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Finding the Third Proportional to 840,498 and 1,799,108

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Solution

The third proportional to 840,498 and 1,799,108 is: 3,851,037.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,498 : 1,799,108 = 1,799,108 : x
  2. Step 2: Convert to fraction form
    840,498/1,799,108 = 1,799,108/x
  3. Step 3: Cross multiply
    840,498x = 1,799,108 × 1,799,108
  4. Step 4: Simplify right side
    840,498x = 3,236,789,595,664
  5. Step 5: Solve for x
    x = 3,236,789,595,664/840,498
  6. Step 6: Final answer
    x = 3,851,037.83

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.