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Finding the Third Proportional to 834,820 and 1,827,080

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Solution

The third proportional to 834,820 and 1,827,080 is: 3,998,731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,820 : 1,827,080 = 1,827,080 : x
  2. Step 2: Convert to fraction form
    834,820/1,827,080 = 1,827,080/x
  3. Step 3: Cross multiply
    834,820x = 1,827,080 × 1,827,080
  4. Step 4: Simplify right side
    834,820x = 3,338,221,326,400
  5. Step 5: Solve for x
    x = 3,338,221,326,400/834,820
  6. Step 6: Final answer
    x = 3,998,731.85

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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.