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Finding the Third Proportional to 2,587,218 and 5,627,448

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Solution

The third proportional to 2,587,218 and 5,627,448 is: 12,240,240.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587,218 : 5,627,448 = 5,627,448 : x
  2. Step 2: Convert to fraction form
    2,587,218/5,627,448 = 5,627,448/x
  3. Step 3: Cross multiply
    2,587,218x = 5,627,448 × 5,627,448
  4. Step 4: Simplify right side
    2,587,218x = 31,668,170,992,704
  5. Step 5: Solve for x
    x = 31,668,170,992,704/2,587,218
  6. Step 6: Final answer
    x = 12,240,240.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.