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Finding the Third Proportional to 1,158,157.50 and 1,746,351

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Solution

The third proportional to 1,158,157.50 and 1,746,351 is: 2,633,270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158,157.50 : 1,746,351 = 1,746,351 : x
  2. Step 2: Convert to fraction form
    1,158,157.50/1,746,351 = 1,746,351/x
  3. Step 3: Cross multiply
    1,158,157.50x = 1,746,351 × 1,746,351
  4. Step 4: Simplify right side
    1,158,157.50x = 3,049,741,815,201
  5. Step 5: Solve for x
    x = 3,049,741,815,201/1,158,157.50
  6. Step 6: Final answer
    x = 2,633,270.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.