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Finding the Third Proportional to 1,456,472 and 2,982,928

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Solution

The third proportional to 1,456,472 and 2,982,928 is: 6,109,186.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,472 : 2,982,928 = 2,982,928 : x
  2. Step 2: Convert to fraction form
    1,456,472/2,982,928 = 2,982,928/x
  3. Step 3: Cross multiply
    1,456,472x = 2,982,928 × 2,982,928
  4. Step 4: Simplify right side
    1,456,472x = 8,897,859,453,184
  5. Step 5: Solve for x
    x = 8,897,859,453,184/1,456,472
  6. Step 6: Final answer
    x = 6,109,186.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.