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Finding the Third Proportional to 971,203.50 and 2,268,411.75

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Solution

The third proportional to 971,203.50 and 2,268,411.75 is: 5,298,263.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,203.50 : 2,268,411.75 = 2,268,411.75 : x
  2. Step 2: Convert to fraction form
    971,203.50/2,268,411.75 = 2,268,411.75/x
  3. Step 3: Cross multiply
    971,203.50x = 2,268,411.75 × 2,268,411.75
  4. Step 4: Simplify right side
    971,203.50x = 5,145,691,867,538.06
  5. Step 5: Solve for x
    x = 5,145,691,867,538.06/971,203.50
  6. Step 6: Final answer
    x = 5,298,263.31

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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.