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Finding the Third Proportional to 775,656 and 1,137,924

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Solution

The third proportional to 775,656 and 1,137,924 is: 1,669,388.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,656 : 1,137,924 = 1,137,924 : x
  2. Step 2: Convert to fraction form
    775,656/1,137,924 = 1,137,924/x
  3. Step 3: Cross multiply
    775,656x = 1,137,924 × 1,137,924
  4. Step 4: Simplify right side
    775,656x = 1,294,871,029,776
  5. Step 5: Solve for x
    x = 1,294,871,029,776/775,656
  6. Step 6: Final answer
    x = 1,669,388.27

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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.