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Finding the Third Proportional to 924,927 and 2,017,493

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Solution

The third proportional to 924,927 and 2,017,493 is: 4,400,647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,927 : 2,017,493 = 2,017,493 : x
  2. Step 2: Convert to fraction form
    924,927/2,017,493 = 2,017,493/x
  3. Step 3: Cross multiply
    924,927x = 2,017,493 × 2,017,493
  4. Step 4: Simplify right side
    924,927x = 4,070,278,005,049
  5. Step 5: Solve for x
    x = 4,070,278,005,049/924,927
  6. Step 6: Final answer
    x = 4,400,647.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.