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Finding the Third Proportional to 961,408 and 2,225,616

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Solution

The third proportional to 961,408 and 2,225,616 is: 5,152,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,408 : 2,225,616 = 2,225,616 : x
  2. Step 2: Convert to fraction form
    961,408/2,225,616 = 2,225,616/x
  3. Step 3: Cross multiply
    961,408x = 2,225,616 × 2,225,616
  4. Step 4: Simplify right side
    961,408x = 4,953,366,579,456
  5. Step 5: Solve for x
    x = 4,953,366,579,456/961,408
  6. Step 6: Final answer
    x = 5,152,200.29

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.