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Finding the Third Proportional to 1,180,982 and 2,509,587

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Solution

The third proportional to 1,180,982 and 2,509,587 is: 5,332,872.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,982 : 2,509,587 = 2,509,587 : x
  2. Step 2: Convert to fraction form
    1,180,982/2,509,587 = 2,509,587/x
  3. Step 3: Cross multiply
    1,180,982x = 2,509,587 × 2,509,587
  4. Step 4: Simplify right side
    1,180,982x = 6,298,026,910,569
  5. Step 5: Solve for x
    x = 6,298,026,910,569/1,180,982
  6. Step 6: Final answer
    x = 5,332,872.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.