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Finding the Third Proportional to 616,776 and 1,351,650

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Solution

The third proportional to 616,776 and 1,351,650 is: 2,962,108.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,776 : 1,351,650 = 1,351,650 : x
  2. Step 2: Convert to fraction form
    616,776/1,351,650 = 1,351,650/x
  3. Step 3: Cross multiply
    616,776x = 1,351,650 × 1,351,650
  4. Step 4: Simplify right side
    616,776x = 1,826,957,722,500
  5. Step 5: Solve for x
    x = 1,826,957,722,500/616,776
  6. Step 6: Final answer
    x = 2,962,108.97

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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.