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Finding the Third Proportional to 4,200,912 and 6,517,376

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Solution

The third proportional to 4,200,912 and 6,517,376 is: 10,111,182.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200,912 : 6,517,376 = 6,517,376 : x
  2. Step 2: Convert to fraction form
    4,200,912/6,517,376 = 6,517,376/x
  3. Step 3: Cross multiply
    4,200,912x = 6,517,376 × 6,517,376
  4. Step 4: Simplify right side
    4,200,912x = 42,476,189,925,376
  5. Step 5: Solve for x
    x = 42,476,189,925,376/4,200,912
  6. Step 6: Final answer
    x = 10,111,182.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.