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Finding the Third Proportional to 435,593.32 and 934,214.77

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Solution

The third proportional to 435,593.32 and 934,214.77 is: 2,003,605.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,593.32 : 934,214.77 = 934,214.77 : x
  2. Step 2: Convert to fraction form
    435,593.32/934,214.77 = 934,214.77/x
  3. Step 3: Cross multiply
    435,593.32x = 934,214.77 × 934,214.77
  4. Step 4: Simplify right side
    435,593.32x = 872,757,228,311.77
  5. Step 5: Solve for x
    x = 872,757,228,311.77/435,593.32
  6. Step 6: Final answer
    x = 2,003,605.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.