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Finding the Third Proportional to 1,650,196 and 2,625,787

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Solution

The third proportional to 1,650,196 and 2,625,787 is: 4,178,144.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650,196 : 2,625,787 = 2,625,787 : x
  2. Step 2: Convert to fraction form
    1,650,196/2,625,787 = 2,625,787/x
  3. Step 3: Cross multiply
    1,650,196x = 2,625,787 × 2,625,787
  4. Step 4: Simplify right side
    1,650,196x = 6,894,757,369,369
  5. Step 5: Solve for x
    x = 6,894,757,369,369/1,650,196
  6. Step 6: Final answer
    x = 4,178,144.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.