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Finding the Third Proportional to 427,340 and 934,062

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Solution

The third proportional to 427,340 and 934,062 is: 2,041,633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,340 : 934,062 = 934,062 : x
  2. Step 2: Convert to fraction form
    427,340/934,062 = 934,062/x
  3. Step 3: Cross multiply
    427,340x = 934,062 × 934,062
  4. Step 4: Simplify right side
    427,340x = 872,471,819,844
  5. Step 5: Solve for x
    x = 872,471,819,844/427,340
  6. Step 6: Final answer
    x = 2,041,633.87

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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.