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Finding the Third Proportional to 701,351.16 and 1,514,611.41

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Solution

The third proportional to 701,351.16 and 1,514,611.41 is: 3,270,897.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,351.16 : 1,514,611.41 = 1,514,611.41 : x
  2. Step 2: Convert to fraction form
    701,351.16/1,514,611.41 = 1,514,611.41/x
  3. Step 3: Cross multiply
    701,351.16x = 1,514,611.41 × 1,514,611.41
  4. Step 4: Simplify right side
    701,351.16x = 2,294,047,711,942.60
  5. Step 5: Solve for x
    x = 2,294,047,711,942.60/701,351.16
  6. Step 6: Final answer
    x = 3,270,897.45

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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.