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Finding the Third Proportional to 433,870 and 934,415

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Solution

The third proportional to 433,870 and 934,415 is: 2,012,426.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,870 : 934,415 = 934,415 : x
  2. Step 2: Convert to fraction form
    433,870/934,415 = 934,415/x
  3. Step 3: Cross multiply
    433,870x = 934,415 × 934,415
  4. Step 4: Simplify right side
    433,870x = 873,131,392,225
  5. Step 5: Solve for x
    x = 873,131,392,225/433,870
  6. Step 6: Final answer
    x = 2,012,426.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.