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Finding the Third Proportional to 2,261,534 and 4,915,708

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Solution

The third proportional to 2,261,534 and 4,915,708 is: 10,684,864.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261,534 : 4,915,708 = 4,915,708 : x
  2. Step 2: Convert to fraction form
    2,261,534/4,915,708 = 4,915,708/x
  3. Step 3: Cross multiply
    2,261,534x = 4,915,708 × 4,915,708
  4. Step 4: Simplify right side
    2,261,534x = 24,164,185,141,264
  5. Step 5: Solve for x
    x = 24,164,185,141,264/2,261,534
  6. Step 6: Final answer
    x = 10,684,864.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.