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Finding the Third Proportional to 2,242,616 and 3,363,220

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Solution

The third proportional to 2,242,616 and 3,363,220 is: 5,043,774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242,616 : 3,363,220 = 3,363,220 : x
  2. Step 2: Convert to fraction form
    2,242,616/3,363,220 = 3,363,220/x
  3. Step 3: Cross multiply
    2,242,616x = 3,363,220 × 3,363,220
  4. Step 4: Simplify right side
    2,242,616x = 11,311,248,768,400
  5. Step 5: Solve for x
    x = 11,311,248,768,400/2,242,616
  6. Step 6: Final answer
    x = 5,043,774.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.