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Finding the Third Proportional to 834,817 and 1,827,074

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Solution

The third proportional to 834,817 and 1,827,074 is: 3,998,719.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,817 : 1,827,074 = 1,827,074 : x
  2. Step 2: Convert to fraction form
    834,817/1,827,074 = 1,827,074/x
  3. Step 3: Cross multiply
    834,817x = 1,827,074 × 1,827,074
  4. Step 4: Simplify right side
    834,817x = 3,338,199,401,476
  5. Step 5: Solve for x
    x = 3,338,199,401,476/834,817
  6. Step 6: Final answer
    x = 3,998,719.96

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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.