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Finding the Third Proportional to 2,473,760 and 5,321,480

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Solution

The third proportional to 2,473,760 and 5,321,480 is: 11,447,411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473,760 : 5,321,480 = 5,321,480 : x
  2. Step 2: Convert to fraction form
    2,473,760/5,321,480 = 5,321,480/x
  3. Step 3: Cross multiply
    2,473,760x = 5,321,480 × 5,321,480
  4. Step 4: Simplify right side
    2,473,760x = 28,318,149,390,400
  5. Step 5: Solve for x
    x = 28,318,149,390,400/2,473,760
  6. Step 6: Final answer
    x = 11,447,411.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.