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Finding the Third Proportional to 2,370,420 and 5,213,448

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Solution

The third proportional to 2,370,420 and 5,213,448 is: 11,466,339.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370,420 : 5,213,448 = 5,213,448 : x
  2. Step 2: Convert to fraction form
    2,370,420/5,213,448 = 5,213,448/x
  3. Step 3: Cross multiply
    2,370,420x = 5,213,448 × 5,213,448
  4. Step 4: Simplify right side
    2,370,420x = 27,180,040,048,704
  5. Step 5: Solve for x
    x = 27,180,040,048,704/2,370,420
  6. Step 6: Final answer
    x = 11,466,339.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.