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Finding the Third Proportional to 900,256.50 and 1,393,517.25

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Solution

The third proportional to 900,256.50 and 1,393,517.25 is: 2,157,041.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,256.50 : 1,393,517.25 = 1,393,517.25 : x
  2. Step 2: Convert to fraction form
    900,256.50/1,393,517.25 = 1,393,517.25/x
  3. Step 3: Cross multiply
    900,256.50x = 1,393,517.25 × 1,393,517.25
  4. Step 4: Simplify right side
    900,256.50x = 1,941,890,326,047.56
  5. Step 5: Solve for x
    x = 1,941,890,326,047.56/900,256.50
  6. Step 6: Final answer
    x = 2,157,041.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.