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Finding the Third Proportional to 772,762 and 1,659,788

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Solution

The third proportional to 772,762 and 1,659,788 is: 3,564,999.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,762 : 1,659,788 = 1,659,788 : x
  2. Step 2: Convert to fraction form
    772,762/1,659,788 = 1,659,788/x
  3. Step 3: Cross multiply
    772,762x = 1,659,788 × 1,659,788
  4. Step 4: Simplify right side
    772,762x = 2,754,896,204,944
  5. Step 5: Solve for x
    x = 2,754,896,204,944/772,762
  6. Step 6: Final answer
    x = 3,564,999.58

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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.