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Finding the Third Proportional to 772,777 and 1,182,114

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Solution

The third proportional to 772,777 and 1,182,114 is: 1,808,275.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,777 : 1,182,114 = 1,182,114 : x
  2. Step 2: Convert to fraction form
    772,777/1,182,114 = 1,182,114/x
  3. Step 3: Cross multiply
    772,777x = 1,182,114 × 1,182,114
  4. Step 4: Simplify right side
    772,777x = 1,397,393,508,996
  5. Step 5: Solve for x
    x = 1,397,393,508,996/772,777
  6. Step 6: Final answer
    x = 1,808,275.23

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Why These Related Problems?

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