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Finding the Third Proportional to 838,830 and 1,825,116

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Solution

The third proportional to 838,830 and 1,825,116 is: 3,971,064.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,830 : 1,825,116 = 1,825,116 : x
  2. Step 2: Convert to fraction form
    838,830/1,825,116 = 1,825,116/x
  3. Step 3: Cross multiply
    838,830x = 1,825,116 × 1,825,116
  4. Step 4: Simplify right side
    838,830x = 3,331,048,413,456
  5. Step 5: Solve for x
    x = 3,331,048,413,456/838,830
  6. Step 6: Final answer
    x = 3,971,064.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.