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Finding the Third Proportional to 968,415.75 and 2,261,859.19

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Solution

The third proportional to 968,415.75 and 2,261,859.19 is: 5,282,862.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,415.75 : 2,261,859.19 = 2,261,859.19 : x
  2. Step 2: Convert to fraction form
    968,415.75/2,261,859.19 = 2,261,859.19/x
  3. Step 3: Cross multiply
    968,415.75x = 2,261,859.19 × 2,261,859.19
  4. Step 4: Simplify right side
    968,415.75x = 5,116,006,984,078.16
  5. Step 5: Solve for x
    x = 5,116,006,984,078.16/968,415.75
  6. Step 6: Final answer
    x = 5,282,862.23

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.