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Finding the Third Proportional to 429,124 and 930,536

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Solution

The third proportional to 429,124 and 930,536 is: 2,017,825.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,124 : 930,536 = 930,536 : x
  2. Step 2: Convert to fraction form
    429,124/930,536 = 930,536/x
  3. Step 3: Cross multiply
    429,124x = 930,536 × 930,536
  4. Step 4: Simplify right side
    429,124x = 865,897,247,296
  5. Step 5: Solve for x
    x = 865,897,247,296/429,124
  6. Step 6: Final answer
    x = 2,017,825.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.