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Finding the Third Proportional to 654,576 and 1,427,424

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Solution

The third proportional to 654,576 and 1,427,424 is: 3,112,761.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,576 : 1,427,424 = 1,427,424 : x
  2. Step 2: Convert to fraction form
    654,576/1,427,424 = 1,427,424/x
  3. Step 3: Cross multiply
    654,576x = 1,427,424 × 1,427,424
  4. Step 4: Simplify right side
    654,576x = 2,037,539,275,776
  5. Step 5: Solve for x
    x = 2,037,539,275,776/654,576
  6. Step 6: Final answer
    x = 3,112,761.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.