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Finding the Third Proportional to 430,614 and 930,108

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Solution

The third proportional to 430,614 and 930,108 is: 2,008,993.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,614 : 930,108 = 930,108 : x
  2. Step 2: Convert to fraction form
    430,614/930,108 = 930,108/x
  3. Step 3: Cross multiply
    430,614x = 930,108 × 930,108
  4. Step 4: Simplify right side
    430,614x = 865,100,891,664
  5. Step 5: Solve for x
    x = 865,100,891,664/430,614
  6. Step 6: Final answer
    x = 2,008,993.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.