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Finding the Third Proportional to 970,062 and 2,002,399

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Solution

The third proportional to 970,062 and 2,002,399 is: 4,133,345.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,062 : 2,002,399 = 2,002,399 : x
  2. Step 2: Convert to fraction form
    970,062/2,002,399 = 2,002,399/x
  3. Step 3: Cross multiply
    970,062x = 2,002,399 × 2,002,399
  4. Step 4: Simplify right side
    970,062x = 4,009,601,755,201
  5. Step 5: Solve for x
    x = 4,009,601,755,201/970,062
  6. Step 6: Final answer
    x = 4,133,345.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.