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Finding the Third Proportional to 2,202,646 and 4,523,864

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Solution

The third proportional to 2,202,646 and 4,523,864 is: 9,291,254.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202,646 : 4,523,864 = 4,523,864 : x
  2. Step 2: Convert to fraction form
    2,202,646/4,523,864 = 4,523,864/x
  3. Step 3: Cross multiply
    2,202,646x = 4,523,864 × 4,523,864
  4. Step 4: Simplify right side
    2,202,646x = 20,465,345,490,496
  5. Step 5: Solve for x
    x = 20,465,345,490,496/2,202,646
  6. Step 6: Final answer
    x = 9,291,254.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.