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Finding the Third Proportional to 2,428,408 and 5,329,208

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Solution

The third proportional to 2,428,408 and 5,329,208 is: 11,695,093.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428,408 : 5,329,208 = 5,329,208 : x
  2. Step 2: Convert to fraction form
    2,428,408/5,329,208 = 5,329,208/x
  3. Step 3: Cross multiply
    2,428,408x = 5,329,208 × 5,329,208
  4. Step 4: Simplify right side
    2,428,408x = 28,400,457,907,264
  5. Step 5: Solve for x
    x = 28,400,457,907,264/2,428,408
  6. Step 6: Final answer
    x = 11,695,093.21

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Why These Related Problems?

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