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Finding the Third Proportional to 998,416 and 2,154,292

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Solution

The third proportional to 998,416 and 2,154,292 is: 4,648,336.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,416 : 2,154,292 = 2,154,292 : x
  2. Step 2: Convert to fraction form
    998,416/2,154,292 = 2,154,292/x
  3. Step 3: Cross multiply
    998,416x = 2,154,292 × 2,154,292
  4. Step 4: Simplify right side
    998,416x = 4,640,974,021,264
  5. Step 5: Solve for x
    x = 4,640,974,021,264/998,416
  6. Step 6: Final answer
    x = 4,648,336.99

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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.