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Finding the Third Proportional to 468,933 and 970,023

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Solution

The third proportional to 468,933 and 970,023 is: 2,006,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,933 : 970,023 = 970,023 : x
  2. Step 2: Convert to fraction form
    468,933/970,023 = 970,023/x
  3. Step 3: Cross multiply
    468,933x = 970,023 × 970,023
  4. Step 4: Simplify right side
    468,933x = 940,944,620,529
  5. Step 5: Solve for x
    x = 940,944,620,529/468,933
  6. Step 6: Final answer
    x = 2,006,565.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.