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Finding the Third Proportional to 1,157,393.50 and 1,561,266

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Solution

The third proportional to 1,157,393.50 and 1,561,266 is: 2,106,069.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,393.50 : 1,561,266 = 1,561,266 : x
  2. Step 2: Convert to fraction form
    1,157,393.50/1,561,266 = 1,561,266/x
  3. Step 3: Cross multiply
    1,157,393.50x = 1,561,266 × 1,561,266
  4. Step 4: Simplify right side
    1,157,393.50x = 2,437,551,522,756
  5. Step 5: Solve for x
    x = 2,437,551,522,756/1,157,393.50
  6. Step 6: Final answer
    x = 2,106,069.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.