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Finding the Third Proportional to 1,283,657 and 2,781,366

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Solution

The third proportional to 1,283,657 and 2,781,366 is: 6,026,529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,657 : 2,781,366 = 2,781,366 : x
  2. Step 2: Convert to fraction form
    1,283,657/2,781,366 = 2,781,366/x
  3. Step 3: Cross multiply
    1,283,657x = 2,781,366 × 2,781,366
  4. Step 4: Simplify right side
    1,283,657x = 7,735,996,825,956
  5. Step 5: Solve for x
    x = 7,735,996,825,956/1,283,657
  6. Step 6: Final answer
    x = 6,026,529.54

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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.