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Finding the Third Proportional to 1,640,542 and 2,568,335

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Solution

The third proportional to 1,640,542 and 2,568,335 is: 4,020,832.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640,542 : 2,568,335 = 2,568,335 : x
  2. Step 2: Convert to fraction form
    1,640,542/2,568,335 = 2,568,335/x
  3. Step 3: Cross multiply
    1,640,542x = 2,568,335 × 2,568,335
  4. Step 4: Simplify right side
    1,640,542x = 6,596,344,672,225
  5. Step 5: Solve for x
    x = 6,596,344,672,225/1,640,542
  6. Step 6: Final answer
    x = 4,020,832.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.