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Finding the Third Proportional to 772,742 and 1,136,766

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Solution

The third proportional to 772,742 and 1,136,766 is: 1,672,274.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,742 : 1,136,766 = 1,136,766 : x
  2. Step 2: Convert to fraction form
    772,742/1,136,766 = 1,136,766/x
  3. Step 3: Cross multiply
    772,742x = 1,136,766 × 1,136,766
  4. Step 4: Simplify right side
    772,742x = 1,292,236,938,756
  5. Step 5: Solve for x
    x = 1,292,236,938,756/772,742
  6. Step 6: Final answer
    x = 1,672,274.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.