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Finding the Third Proportional to 998,982 and 2,184,468

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Solution

The third proportional to 998,982 and 2,184,468 is: 4,776,763.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,982 : 2,184,468 = 2,184,468 : x
  2. Step 2: Convert to fraction form
    998,982/2,184,468 = 2,184,468/x
  3. Step 3: Cross multiply
    998,982x = 2,184,468 × 2,184,468
  4. Step 4: Simplify right side
    998,982x = 4,771,900,443,024
  5. Step 5: Solve for x
    x = 4,771,900,443,024/998,982
  6. Step 6: Final answer
    x = 4,776,763.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.