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Finding the Third Proportional to 4,148,334 and 6,222,612

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Solution

The third proportional to 4,148,334 and 6,222,612 is: 9,334,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148,334 : 6,222,612 = 6,222,612 : x
  2. Step 2: Convert to fraction form
    4,148,334/6,222,612 = 6,222,612/x
  3. Step 3: Cross multiply
    4,148,334x = 6,222,612 × 6,222,612
  4. Step 4: Simplify right side
    4,148,334x = 38,720,900,102,544
  5. Step 5: Solve for x
    x = 38,720,900,102,544/4,148,334
  6. Step 6: Final answer
    x = 9,334,084.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.