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Finding the Third Proportional to 429,702 and 935,868

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Solution

The third proportional to 429,702 and 935,868 is: 2,038,270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,702 : 935,868 = 935,868 : x
  2. Step 2: Convert to fraction form
    429,702/935,868 = 935,868/x
  3. Step 3: Cross multiply
    429,702x = 935,868 × 935,868
  4. Step 4: Simplify right side
    429,702x = 875,848,913,424
  5. Step 5: Solve for x
    x = 875,848,913,424/429,702
  6. Step 6: Final answer
    x = 2,038,270.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.