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Finding the Third Proportional to 2,116,350 and 4,703,532

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Solution

The third proportional to 2,116,350 and 4,703,532 is: 10,453,475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116,350 : 4,703,532 = 4,703,532 : x
  2. Step 2: Convert to fraction form
    2,116,350/4,703,532 = 4,703,532/x
  3. Step 3: Cross multiply
    2,116,350x = 4,703,532 × 4,703,532
  4. Step 4: Simplify right side
    2,116,350x = 22,123,213,275,024
  5. Step 5: Solve for x
    x = 22,123,213,275,024/2,116,350
  6. Step 6: Final answer
    x = 10,453,475.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.