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Finding the Third Proportional to 2,258,288 and 4,971,472

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Solution

The third proportional to 2,258,288 and 4,971,472 is: 10,944,367.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258,288 : 4,971,472 = 4,971,472 : x
  2. Step 2: Convert to fraction form
    2,258,288/4,971,472 = 4,971,472/x
  3. Step 3: Cross multiply
    2,258,288x = 4,971,472 × 4,971,472
  4. Step 4: Simplify right side
    2,258,288x = 24,715,533,846,784
  5. Step 5: Solve for x
    x = 24,715,533,846,784/2,258,288
  6. Step 6: Final answer
    x = 10,944,367.52

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