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Finding the Third Proportional to 653,831.25 and 1,410,876.75

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Solution

The third proportional to 653,831.25 and 1,410,876.75 is: 3,044,475.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,831.25 : 1,410,876.75 = 1,410,876.75 : x
  2. Step 2: Convert to fraction form
    653,831.25/1,410,876.75 = 1,410,876.75/x
  3. Step 3: Cross multiply
    653,831.25x = 1,410,876.75 × 1,410,876.75
  4. Step 4: Simplify right side
    653,831.25x = 1,990,573,203,690.56
  5. Step 5: Solve for x
    x = 1,990,573,203,690.56/653,831.25
  6. Step 6: Final answer
    x = 3,044,475.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.