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Finding the Third Proportional to 905,215.50 and 1,941,862.50

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Solution

The third proportional to 905,215.50 and 1,941,862.50 is: 4,165,671.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,215.50 : 1,941,862.50 = 1,941,862.50 : x
  2. Step 2: Convert to fraction form
    905,215.50/1,941,862.50 = 1,941,862.50/x
  3. Step 3: Cross multiply
    905,215.50x = 1,941,862.50 × 1,941,862.50
  4. Step 4: Simplify right side
    905,215.50x = 3,770,829,968,906.25
  5. Step 5: Solve for x
    x = 3,770,829,968,906.25/905,215.50
  6. Step 6: Final answer
    x = 4,165,671.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.