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Finding the Third Proportional to 778,049 and 1,610,050

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Solution

The third proportional to 778,049 and 1,610,050 is: 3,331,745.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,049 : 1,610,050 = 1,610,050 : x
  2. Step 2: Convert to fraction form
    778,049/1,610,050 = 1,610,050/x
  3. Step 3: Cross multiply
    778,049x = 1,610,050 × 1,610,050
  4. Step 4: Simplify right side
    778,049x = 2,592,261,002,500
  5. Step 5: Solve for x
    x = 2,592,261,002,500/778,049
  6. Step 6: Final answer
    x = 3,331,745.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.