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Finding the Third Proportional to 933,224 and 2,002,382

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Solution

The third proportional to 933,224 and 2,002,382 is: 4,296,432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,224 : 2,002,382 = 2,002,382 : x
  2. Step 2: Convert to fraction form
    933,224/2,002,382 = 2,002,382/x
  3. Step 3: Cross multiply
    933,224x = 2,002,382 × 2,002,382
  4. Step 4: Simplify right side
    933,224x = 4,009,533,673,924
  5. Step 5: Solve for x
    x = 4,009,533,673,924/933,224
  6. Step 6: Final answer
    x = 4,296,432.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.