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Finding the Third Proportional to 2,002,320 and 4,270,428

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Solution

The third proportional to 2,002,320 and 4,270,428 is: 9,107,712.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002,320 : 4,270,428 = 4,270,428 : x
  2. Step 2: Convert to fraction form
    2,002,320/4,270,428 = 4,270,428/x
  3. Step 3: Cross multiply
    2,002,320x = 4,270,428 × 4,270,428
  4. Step 4: Simplify right side
    2,002,320x = 18,236,555,303,184
  5. Step 5: Solve for x
    x = 18,236,555,303,184/2,002,320
  6. Step 6: Final answer
    x = 9,107,712.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.