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Finding the Third Proportional to 701,859.94 and 1,048,112.16

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Solution

The third proportional to 701,859.94 and 1,048,112.16 is: 1,565,182.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,859.94 : 1,048,112.16 = 1,048,112.16 : x
  2. Step 2: Convert to fraction form
    701,859.94/1,048,112.16 = 1,048,112.16/x
  3. Step 3: Cross multiply
    701,859.94x = 1,048,112.16 × 1,048,112.16
  4. Step 4: Simplify right side
    701,859.94x = 1,098,539,092,079.02
  5. Step 5: Solve for x
    x = 1,098,539,092,079.02/701,859.94
  6. Step 6: Final answer
    x = 1,565,182.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.