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Finding the Third Proportional to 322,462,544 and 658,459,862

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Solution

The third proportional to 322,462,544 and 658,459,862 is: 1,344,557,369.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,462,544 : 658,459,862 = 658,459,862 : x
  2. Step 2: Convert to fraction form
    322,462,544/658,459,862 = 658,459,862/x
  3. Step 3: Cross multiply
    322,462,544x = 658,459,862 × 658,459,862
  4. Step 4: Simplify right side
    322,462,544x = 433,569,389,865,059,072
  5. Step 5: Solve for x
    x = 433,569,389,865,059,072/322,462,544
  6. Step 6: Final answer
    x = 1,344,557,369.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.