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Finding the Third Proportional to 1,002,605 and 2,087,830

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Solution

The third proportional to 1,002,605 and 2,087,830 is: 4,347,708.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,605 : 2,087,830 = 2,087,830 : x
  2. Step 2: Convert to fraction form
    1,002,605/2,087,830 = 2,087,830/x
  3. Step 3: Cross multiply
    1,002,605x = 2,087,830 × 2,087,830
  4. Step 4: Simplify right side
    1,002,605x = 4,359,034,108,900
  5. Step 5: Solve for x
    x = 4,359,034,108,900/1,002,605
  6. Step 6: Final answer
    x = 4,347,708.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.