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Finding the Third Proportional to 429,812 and 934,251

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Solution

The third proportional to 429,812 and 934,251 is: 2,030,713.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,812 : 934,251 = 934,251 : x
  2. Step 2: Convert to fraction form
    429,812/934,251 = 934,251/x
  3. Step 3: Cross multiply
    429,812x = 934,251 × 934,251
  4. Step 4: Simplify right side
    429,812x = 872,824,931,001
  5. Step 5: Solve for x
    x = 872,824,931,001/429,812
  6. Step 6: Final answer
    x = 2,030,713.27

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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.