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Finding the Third Proportional to 535,432 and 1,164,177

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Solution

The third proportional to 535,432 and 1,164,177 is: 2,531,242.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,432 : 1,164,177 = 1,164,177 : x
  2. Step 2: Convert to fraction form
    535,432/1,164,177 = 1,164,177/x
  3. Step 3: Cross multiply
    535,432x = 1,164,177 × 1,164,177
  4. Step 4: Simplify right side
    535,432x = 1,355,308,087,329
  5. Step 5: Solve for x
    x = 1,355,308,087,329/535,432
  6. Step 6: Final answer
    x = 2,531,242.23

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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.