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Finding the Third Proportional to 461,106 and 976,932

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Solution

The third proportional to 461,106 and 976,932 is: 2,069,797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,106 : 976,932 = 976,932 : x
  2. Step 2: Convert to fraction form
    461,106/976,932 = 976,932/x
  3. Step 3: Cross multiply
    461,106x = 976,932 × 976,932
  4. Step 4: Simplify right side
    461,106x = 954,396,132,624
  5. Step 5: Solve for x
    x = 954,396,132,624/461,106
  6. Step 6: Final answer
    x = 2,069,797.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.