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Finding the Third Proportional to 2,244,953 and 4,924,534

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Solution

The third proportional to 2,244,953 and 4,924,534 is: 10,802,468.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244,953 : 4,924,534 = 4,924,534 : x
  2. Step 2: Convert to fraction form
    2,244,953/4,924,534 = 4,924,534/x
  3. Step 3: Cross multiply
    2,244,953x = 4,924,534 × 4,924,534
  4. Step 4: Simplify right side
    2,244,953x = 24,251,035,117,156
  5. Step 5: Solve for x
    x = 24,251,035,117,156/2,244,953
  6. Step 6: Final answer
    x = 10,802,468.97

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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.