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Finding the Third Proportional to 826,452 and 1,811,340

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Solution

The third proportional to 826,452 and 1,811,340 is: 3,969,925.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,452 : 1,811,340 = 1,811,340 : x
  2. Step 2: Convert to fraction form
    826,452/1,811,340 = 1,811,340/x
  3. Step 3: Cross multiply
    826,452x = 1,811,340 × 1,811,340
  4. Step 4: Simplify right side
    826,452x = 3,280,952,595,600
  5. Step 5: Solve for x
    x = 3,280,952,595,600/826,452
  6. Step 6: Final answer
    x = 3,969,925.17

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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.