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Finding the Third Proportional to 777,939 and 1,048,719

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Solution

The third proportional to 777,939 and 1,048,719 is: 1,413,750.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,939 : 1,048,719 = 1,048,719 : x
  2. Step 2: Convert to fraction form
    777,939/1,048,719 = 1,048,719/x
  3. Step 3: Cross multiply
    777,939x = 1,048,719 × 1,048,719
  4. Step 4: Simplify right side
    777,939x = 1,099,811,540,961
  5. Step 5: Solve for x
    x = 1,099,811,540,961/777,939
  6. Step 6: Final answer
    x = 1,413,750.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.