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Finding the Third Proportional to 1,427,398.88 and 2,101,671.56

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Solution

The third proportional to 1,427,398.88 and 2,101,671.56 is: 3,094,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,398.88 : 2,101,671.56 = 2,101,671.56 : x
  2. Step 2: Convert to fraction form
    1,427,398.88/2,101,671.56 = 2,101,671.56/x
  3. Step 3: Cross multiply
    1,427,398.88x = 2,101,671.56 × 2,101,671.56
  4. Step 4: Simplify right side
    1,427,398.88x = 4,417,023,356,621.19
  5. Step 5: Solve for x
    x = 4,417,023,356,621.19/1,427,398.88
  6. Step 6: Final answer
    x = 3,094,456.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.