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Finding the Third Proportional to 830,776 and 1,801,520

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Solution

The third proportional to 830,776 and 1,801,520 is: 3,906,557.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,776 : 1,801,520 = 1,801,520 : x
  2. Step 2: Convert to fraction form
    830,776/1,801,520 = 1,801,520/x
  3. Step 3: Cross multiply
    830,776x = 1,801,520 × 1,801,520
  4. Step 4: Simplify right side
    830,776x = 3,245,474,310,400
  5. Step 5: Solve for x
    x = 3,245,474,310,400/830,776
  6. Step 6: Final answer
    x = 3,906,557.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.