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Finding the Third Proportional to 2,294,472 and 4,736,256

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Solution

The third proportional to 2,294,472 and 4,736,256 is: 9,776,593.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294,472 : 4,736,256 = 4,736,256 : x
  2. Step 2: Convert to fraction form
    2,294,472/4,736,256 = 4,736,256/x
  3. Step 3: Cross multiply
    2,294,472x = 4,736,256 × 4,736,256
  4. Step 4: Simplify right side
    2,294,472x = 22,432,120,897,536
  5. Step 5: Solve for x
    x = 22,432,120,897,536/2,294,472
  6. Step 6: Final answer
    x = 9,776,593.87

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.