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Finding the Third Proportional to 2,128,605 and 3,215,019

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Solution

The third proportional to 2,128,605 and 3,215,019 is: 4,855,925.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128,605 : 3,215,019 = 3,215,019 : x
  2. Step 2: Convert to fraction form
    2,128,605/3,215,019 = 3,215,019/x
  3. Step 3: Cross multiply
    2,128,605x = 3,215,019 × 3,215,019
  4. Step 4: Simplify right side
    2,128,605x = 10,336,347,170,361
  5. Step 5: Solve for x
    x = 10,336,347,170,361/2,128,605
  6. Step 6: Final answer
    x = 4,855,925.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.