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Finding the Third Proportional to 2,094,564 and 3,223,494

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Solution

The third proportional to 2,094,564 and 3,223,494 is: 4,960,895.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094,564 : 3,223,494 = 3,223,494 : x
  2. Step 2: Convert to fraction form
    2,094,564/3,223,494 = 3,223,494/x
  3. Step 3: Cross multiply
    2,094,564x = 3,223,494 × 3,223,494
  4. Step 4: Simplify right side
    2,094,564x = 10,390,913,568,036
  5. Step 5: Solve for x
    x = 10,390,913,568,036/2,094,564
  6. Step 6: Final answer
    x = 4,960,895.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.