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Finding the Third Proportional to 1,865,432 and 3,986,824

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Solution

The third proportional to 1,865,432 and 3,986,824 is: 8,520,688.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865,432 : 3,986,824 = 3,986,824 : x
  2. Step 2: Convert to fraction form
    1,865,432/3,986,824 = 3,986,824/x
  3. Step 3: Cross multiply
    1,865,432x = 3,986,824 × 3,986,824
  4. Step 4: Simplify right side
    1,865,432x = 15,894,765,606,976
  5. Step 5: Solve for x
    x = 15,894,765,606,976/1,865,432
  6. Step 6: Final answer
    x = 8,520,688.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.