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Finding the Third Proportional to 705,417 and 1,080,888.75

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Solution

The third proportional to 705,417 and 1,080,888.75 is: 1,656,212.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,417 : 1,080,888.75 = 1,080,888.75 : x
  2. Step 2: Convert to fraction form
    705,417/1,080,888.75 = 1,080,888.75/x
  3. Step 3: Cross multiply
    705,417x = 1,080,888.75 × 1,080,888.75
  4. Step 4: Simplify right side
    705,417x = 1,168,320,489,876.56
  5. Step 5: Solve for x
    x = 1,168,320,489,876.56/705,417
  6. Step 6: Final answer
    x = 1,656,212.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.