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Finding the Third Proportional to 772,744 and 1,136,768

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Solution

The third proportional to 772,744 and 1,136,768 is: 1,672,276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,744 : 1,136,768 = 1,136,768 : x
  2. Step 2: Convert to fraction form
    772,744/1,136,768 = 1,136,768/x
  3. Step 3: Cross multiply
    772,744x = 1,136,768 × 1,136,768
  4. Step 4: Simplify right side
    772,744x = 1,292,241,485,824
  5. Step 5: Solve for x
    x = 1,292,241,485,824/772,744
  6. Step 6: Final answer
    x = 1,672,276.31

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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.