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Finding the Third Proportional to 772,734 and 1,182,055

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Solution

The third proportional to 772,734 and 1,182,055 is: 1,808,195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,734 : 1,182,055 = 1,182,055 : x
  2. Step 2: Convert to fraction form
    772,734/1,182,055 = 1,182,055/x
  3. Step 3: Cross multiply
    772,734x = 1,182,055 × 1,182,055
  4. Step 4: Simplify right side
    772,734x = 1,397,254,023,025
  5. Step 5: Solve for x
    x = 1,397,254,023,025/772,734
  6. Step 6: Final answer
    x = 1,808,195.35

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