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Finding the Third Proportional to 4,125,880 and 6,196,614

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Solution

The third proportional to 4,125,880 and 6,196,614 is: 9,306,626.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125,880 : 6,196,614 = 6,196,614 : x
  2. Step 2: Convert to fraction form
    4,125,880/6,196,614 = 6,196,614/x
  3. Step 3: Cross multiply
    4,125,880x = 6,196,614 × 6,196,614
  4. Step 4: Simplify right side
    4,125,880x = 38,398,025,064,996
  5. Step 5: Solve for x
    x = 38,398,025,064,996/4,125,880
  6. Step 6: Final answer
    x = 9,306,626.72

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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.