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Finding the Third Proportional to 532,853.44 and 1,016,600.63

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Solution

The third proportional to 532,853.44 and 1,016,600.63 is: 1,939,514.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,853.44 : 1,016,600.63 = 1,016,600.63 : x
  2. Step 2: Convert to fraction form
    532,853.44/1,016,600.63 = 1,016,600.63/x
  3. Step 3: Cross multiply
    532,853.44x = 1,016,600.63 × 1,016,600.63
  4. Step 4: Simplify right side
    532,853.44x = 1,033,476,830,750.39
  5. Step 5: Solve for x
    x = 1,033,476,830,750.39/532,853.44
  6. Step 6: Final answer
    x = 1,939,514.24

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.