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Finding the Third Proportional to 772,680 and 1,182,063

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Solution

The third proportional to 772,680 and 1,182,063 is: 1,808,346.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,680 : 1,182,063 = 1,182,063 : x
  2. Step 2: Convert to fraction form
    772,680/1,182,063 = 1,182,063/x
  3. Step 3: Cross multiply
    772,680x = 1,182,063 × 1,182,063
  4. Step 4: Simplify right side
    772,680x = 1,397,272,935,969
  5. Step 5: Solve for x
    x = 1,397,272,935,969/772,680
  6. Step 6: Final answer
    x = 1,808,346.19

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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.