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Finding the Third Proportional to 4,924,290 and 7,564,317

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Solution

The third proportional to 4,924,290 and 7,564,317 is: 11,619,724.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924,290 : 7,564,317 = 7,564,317 : x
  2. Step 2: Convert to fraction form
    4,924,290/7,564,317 = 7,564,317/x
  3. Step 3: Cross multiply
    4,924,290x = 7,564,317 × 7,564,317
  4. Step 4: Simplify right side
    4,924,290x = 57,218,891,676,489
  5. Step 5: Solve for x
    x = 57,218,891,676,489/4,924,290
  6. Step 6: Final answer
    x = 11,619,724.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.