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Finding the Third Proportional to 1,240,197 and 2,657,541

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Solution

The third proportional to 1,240,197 and 2,657,541 is: 5,694,679.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240,197 : 2,657,541 = 2,657,541 : x
  2. Step 2: Convert to fraction form
    1,240,197/2,657,541 = 2,657,541/x
  3. Step 3: Cross multiply
    1,240,197x = 2,657,541 × 2,657,541
  4. Step 4: Simplify right side
    1,240,197x = 7,062,524,166,681
  5. Step 5: Solve for x
    x = 7,062,524,166,681/1,240,197
  6. Step 6: Final answer
    x = 5,694,679.29

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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.