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Finding the Third Proportional to 2,299,540 and 4,837,220

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Solution

The third proportional to 2,299,540 and 4,837,220 is: 10,175,381.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299,540 : 4,837,220 = 4,837,220 : x
  2. Step 2: Convert to fraction form
    2,299,540/4,837,220 = 4,837,220/x
  3. Step 3: Cross multiply
    2,299,540x = 4,837,220 × 4,837,220
  4. Step 4: Simplify right side
    2,299,540x = 23,398,697,328,400
  5. Step 5: Solve for x
    x = 23,398,697,328,400/2,299,540
  6. Step 6: Final answer
    x = 10,175,381.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.