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Finding the Third Proportional to 429,182 and 930,040

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Solution

The third proportional to 429,182 and 930,040 is: 2,015,402.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,182 : 930,040 = 930,040 : x
  2. Step 2: Convert to fraction form
    429,182/930,040 = 930,040/x
  3. Step 3: Cross multiply
    429,182x = 930,040 × 930,040
  4. Step 4: Simplify right side
    429,182x = 864,974,401,600
  5. Step 5: Solve for x
    x = 864,974,401,600/429,182
  6. Step 6: Final answer
    x = 2,015,402.33

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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.