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Finding the Third Proportional to 2,724,290 and 5,927,431

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Solution

The third proportional to 2,724,290 and 5,927,431 is: 12,896,732.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724,290 : 5,927,431 = 5,927,431 : x
  2. Step 2: Convert to fraction form
    2,724,290/5,927,431 = 5,927,431/x
  3. Step 3: Cross multiply
    2,724,290x = 5,927,431 × 5,927,431
  4. Step 4: Simplify right side
    2,724,290x = 35,134,438,259,761
  5. Step 5: Solve for x
    x = 35,134,438,259,761/2,724,290
  6. Step 6: Final answer
    x = 12,896,732.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.