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Finding the Third Proportional to 2,184,443 and 4,788,792

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Solution

The third proportional to 2,184,443 and 4,788,792 is: 10,498,112.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184,443 : 4,788,792 = 4,788,792 : x
  2. Step 2: Convert to fraction form
    2,184,443/4,788,792 = 4,788,792/x
  3. Step 3: Cross multiply
    2,184,443x = 4,788,792 × 4,788,792
  4. Step 4: Simplify right side
    2,184,443x = 22,932,528,819,264
  5. Step 5: Solve for x
    x = 22,932,528,819,264/2,184,443
  6. Step 6: Final answer
    x = 10,498,112.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.