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Finding the Third Proportional to 2,852,474 and 6,264,748

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Solution

The third proportional to 2,852,474 and 6,264,748 is: 13,758,957.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852,474 : 6,264,748 = 6,264,748 : x
  2. Step 2: Convert to fraction form
    2,852,474/6,264,748 = 6,264,748/x
  3. Step 3: Cross multiply
    2,852,474x = 6,264,748 × 6,264,748
  4. Step 4: Simplify right side
    2,852,474x = 39,247,067,503,504
  5. Step 5: Solve for x
    x = 39,247,067,503,504/2,852,474
  6. Step 6: Final answer
    x = 13,758,957.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.