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Finding the Third Proportional to 427,341 and 934,063

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Solution

The third proportional to 427,341 and 934,063 is: 2,041,633.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,341 : 934,063 = 934,063 : x
  2. Step 2: Convert to fraction form
    427,341/934,063 = 934,063/x
  3. Step 3: Cross multiply
    427,341x = 934,063 × 934,063
  4. Step 4: Simplify right side
    427,341x = 872,473,687,969
  5. Step 5: Solve for x
    x = 872,473,687,969/427,341
  6. Step 6: Final answer
    x = 2,041,633.47

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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.