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Finding the Third Proportional to 535,437 and 1,164,186

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Solution

The third proportional to 535,437 and 1,164,186 is: 2,531,257.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,437 : 1,164,186 = 1,164,186 : x
  2. Step 2: Convert to fraction form
    535,437/1,164,186 = 1,164,186/x
  3. Step 3: Cross multiply
    535,437x = 1,164,186 × 1,164,186
  4. Step 4: Simplify right side
    535,437x = 1,355,329,042,596
  5. Step 5: Solve for x
    x = 1,355,329,042,596/535,437
  6. Step 6: Final answer
    x = 2,531,257.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.