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Finding the Third Proportional to 1,594,359 and 1,640,286

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Solution

The third proportional to 1,594,359 and 1,640,286 is: 1,687,535.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594,359 : 1,640,286 = 1,640,286 : x
  2. Step 2: Convert to fraction form
    1,594,359/1,640,286 = 1,640,286/x
  3. Step 3: Cross multiply
    1,594,359x = 1,640,286 × 1,640,286
  4. Step 4: Simplify right side
    1,594,359x = 2,690,538,161,796
  5. Step 5: Solve for x
    x = 2,690,538,161,796/1,594,359
  6. Step 6: Final answer
    x = 1,687,535.97

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.