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Finding the Third Proportional to 1,632,006 and 2,533,257

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Solution

The third proportional to 1,632,006 and 2,533,257 is: 3,932,210.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632,006 : 2,533,257 = 2,533,257 : x
  2. Step 2: Convert to fraction form
    1,632,006/2,533,257 = 2,533,257/x
  3. Step 3: Cross multiply
    1,632,006x = 2,533,257 × 2,533,257
  4. Step 4: Simplify right side
    1,632,006x = 6,417,391,028,049
  5. Step 5: Solve for x
    x = 6,417,391,028,049/1,632,006
  6. Step 6: Final answer
    x = 3,932,210.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.