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Finding the Third Proportional to 2,242,560 and 5,264,736

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Solution

The third proportional to 2,242,560 and 5,264,736 is: 12,359,734.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242,560 : 5,264,736 = 5,264,736 : x
  2. Step 2: Convert to fraction form
    2,242,560/5,264,736 = 5,264,736/x
  3. Step 3: Cross multiply
    2,242,560x = 5,264,736 × 5,264,736
  4. Step 4: Simplify right side
    2,242,560x = 27,717,445,149,696
  5. Step 5: Solve for x
    x = 27,717,445,149,696/2,242,560
  6. Step 6: Final answer
    x = 12,359,734.03

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.