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Finding the Third Proportional to 772,764 and 1,678,593.75

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Solution

The third proportional to 772,764 and 1,678,593.75 is: 3,646,232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,764 : 1,678,593.75 = 1,678,593.75 : x
  2. Step 2: Convert to fraction form
    772,764/1,678,593.75 = 1,678,593.75/x
  3. Step 3: Cross multiply
    772,764x = 1,678,593.75 × 1,678,593.75
  4. Step 4: Simplify right side
    772,764x = 2,817,676,977,539.06
  5. Step 5: Solve for x
    x = 2,817,676,977,539.06/772,764
  6. Step 6: Final answer
    x = 3,646,232.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.