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Finding the Third Proportional to 772,761 and 1,659,786

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Solution

The third proportional to 772,761 and 1,659,786 is: 3,564,995.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,761 : 1,659,786 = 1,659,786 : x
  2. Step 2: Convert to fraction form
    772,761/1,659,786 = 1,659,786/x
  3. Step 3: Cross multiply
    772,761x = 1,659,786 × 1,659,786
  4. Step 4: Simplify right side
    772,761x = 2,754,889,565,796
  5. Step 5: Solve for x
    x = 2,754,889,565,796/772,761
  6. Step 6: Final answer
    x = 3,564,995.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.