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Finding the Third Proportional to 935,934.75 and 1,916,223.75

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Solution

The third proportional to 935,934.75 and 1,916,223.75 is: 3,923,257.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,934.75 : 1,916,223.75 = 1,916,223.75 : x
  2. Step 2: Convert to fraction form
    935,934.75/1,916,223.75 = 1,916,223.75/x
  3. Step 3: Cross multiply
    935,934.75x = 1,916,223.75 × 1,916,223.75
  4. Step 4: Simplify right side
    935,934.75x = 3,671,913,460,064.06
  5. Step 5: Solve for x
    x = 3,671,913,460,064.06/935,934.75
  6. Step 6: Final answer
    x = 3,923,257.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.