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Finding the Third Proportional to 312,143,874 and 722,832,459

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Solution

The third proportional to 312,143,874 and 722,832,459 is: 1,673,865,186.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,143,874 : 722,832,459 = 722,832,459 : x
  2. Step 2: Convert to fraction form
    312,143,874/722,832,459 = 722,832,459/x
  3. Step 3: Cross multiply
    312,143,874x = 722,832,459 × 722,832,459
  4. Step 4: Simplify right side
    312,143,874x = 522,486,763,783,986,688
  5. Step 5: Solve for x
    x = 522,486,763,783,986,688/312,143,874
  6. Step 6: Final answer
    x = 1,673,865,186.23

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.