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Finding the Third Proportional to 998,415 and 2,154,294

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Solution

The third proportional to 998,415 and 2,154,294 is: 4,648,350.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,415 : 2,154,294 = 2,154,294 : x
  2. Step 2: Convert to fraction form
    998,415/2,154,294 = 2,154,294/x
  3. Step 3: Cross multiply
    998,415x = 2,154,294 × 2,154,294
  4. Step 4: Simplify right side
    998,415x = 4,640,982,638,436
  5. Step 5: Solve for x
    x = 4,640,982,638,436/998,415
  6. Step 6: Final answer
    x = 4,648,350.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.