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Finding the Third Proportional to 616,792 and 1,351,682

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Solution

The third proportional to 616,792 and 1,351,682 is: 2,962,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,792 : 1,351,682 = 1,351,682 : x
  2. Step 2: Convert to fraction form
    616,792/1,351,682 = 1,351,682/x
  3. Step 3: Cross multiply
    616,792x = 1,351,682 × 1,351,682
  4. Step 4: Simplify right side
    616,792x = 1,827,044,229,124
  5. Step 5: Solve for x
    x = 1,827,044,229,124/616,792
  6. Step 6: Final answer
    x = 2,962,172.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.