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Finding the Third Proportional to 537,432 and 1,171,632

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Solution

The third proportional to 537,432 and 1,171,632 is: 2,554,223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,432 : 1,171,632 = 1,171,632 : x
  2. Step 2: Convert to fraction form
    537,432/1,171,632 = 1,171,632/x
  3. Step 3: Cross multiply
    537,432x = 1,171,632 × 1,171,632
  4. Step 4: Simplify right side
    537,432x = 1,372,721,543,424
  5. Step 5: Solve for x
    x = 1,372,721,543,424/537,432
  6. Step 6: Final answer
    x = 2,554,223.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.