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Finding the Third Proportional to 4,637,684 and 6,098,532

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Solution

The third proportional to 4,637,684 and 6,098,532 is: 8,019,540.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637,684 : 6,098,532 = 6,098,532 : x
  2. Step 2: Convert to fraction form
    4,637,684/6,098,532 = 6,098,532/x
  3. Step 3: Cross multiply
    4,637,684x = 6,098,532 × 6,098,532
  4. Step 4: Simplify right side
    4,637,684x = 37,192,092,555,024
  5. Step 5: Solve for x
    x = 37,192,092,555,024/4,637,684
  6. Step 6: Final answer
    x = 8,019,540.05

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.