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Finding the Third Proportional to 322,307,120 and 690,561,586

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Solution

The third proportional to 322,307,120 and 690,561,586 is: 1,479,568,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,307,120 : 690,561,586 = 690,561,586 : x
  2. Step 2: Convert to fraction form
    322,307,120/690,561,586 = 690,561,586/x
  3. Step 3: Cross multiply
    322,307,120x = 690,561,586 × 690,561,586
  4. Step 4: Simplify right side
    322,307,120x = 476,875,304,058,835,392
  5. Step 5: Solve for x
    x = 476,875,304,058,835,392/322,307,120
  6. Step 6: Final answer
    x = 1,479,568,009.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.