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Finding the Third Proportional to 315,939 and 695,922

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Solution

The third proportional to 315,939 and 695,922 is: 1,532,914.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,939 : 695,922 = 695,922 : x
  2. Step 2: Convert to fraction form
    315,939/695,922 = 695,922/x
  3. Step 3: Cross multiply
    315,939x = 695,922 × 695,922
  4. Step 4: Simplify right side
    315,939x = 484,307,430,084
  5. Step 5: Solve for x
    x = 484,307,430,084/315,939
  6. Step 6: Final answer
    x = 1,532,914.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.