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Finding the Third Proportional to 536,437.69 and 1,116,524.25

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Solution

The third proportional to 536,437.69 and 1,116,524.25 is: 2,323,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,437.69 : 1,116,524.25 = 1,116,524.25 : x
  2. Step 2: Convert to fraction form
    536,437.69/1,116,524.25 = 1,116,524.25/x
  3. Step 3: Cross multiply
    536,437.69x = 1,116,524.25 × 1,116,524.25
  4. Step 4: Simplify right side
    536,437.69x = 1,246,626,400,838.06
  5. Step 5: Solve for x
    x = 1,246,626,400,838.06/536,437.69
  6. Step 6: Final answer
    x = 2,323,897.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.