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Finding the Third Proportional to 322,462,485 and 658,459,746

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Solution

The third proportional to 322,462,485 and 658,459,746 is: 1,344,557,141.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,462,485 : 658,459,746 = 658,459,746 : x
  2. Step 2: Convert to fraction form
    322,462,485/658,459,746 = 658,459,746/x
  3. Step 3: Cross multiply
    322,462,485x = 658,459,746 × 658,459,746
  4. Step 4: Simplify right side
    322,462,485x = 433,569,237,102,384,512
  5. Step 5: Solve for x
    x = 433,569,237,102,384,512/322,462,485
  6. Step 6: Final answer
    x = 1,344,557,141.59

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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.