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Finding the Third Proportional to 1,029,449 and 1,551,747

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Solution

The third proportional to 1,029,449 and 1,551,747 is: 2,339,036.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,449 : 1,551,747 = 1,551,747 : x
  2. Step 2: Convert to fraction form
    1,029,449/1,551,747 = 1,551,747/x
  3. Step 3: Cross multiply
    1,029,449x = 1,551,747 × 1,551,747
  4. Step 4: Simplify right side
    1,029,449x = 2,407,918,752,009
  5. Step 5: Solve for x
    x = 2,407,918,752,009/1,029,449
  6. Step 6: Final answer
    x = 2,339,036.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.