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Finding the Third Proportional to 2,478,384 and 5,423,328

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Solution

The third proportional to 2,478,384 and 5,423,328 is: 11,867,606.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478,384 : 5,423,328 = 5,423,328 : x
  2. Step 2: Convert to fraction form
    2,478,384/5,423,328 = 5,423,328/x
  3. Step 3: Cross multiply
    2,478,384x = 5,423,328 × 5,423,328
  4. Step 4: Simplify right side
    2,478,384x = 29,412,486,595,584
  5. Step 5: Solve for x
    x = 29,412,486,595,584/2,478,384
  6. Step 6: Final answer
    x = 11,867,606.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.