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Finding the Third Proportional to 1,691,102 and 2,617,389

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Solution

The third proportional to 1,691,102 and 2,617,389 is: 4,051,041.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,102 : 2,617,389 = 2,617,389 : x
  2. Step 2: Convert to fraction form
    1,691,102/2,617,389 = 2,617,389/x
  3. Step 3: Cross multiply
    1,691,102x = 2,617,389 × 2,617,389
  4. Step 4: Simplify right side
    1,691,102x = 6,850,725,177,321
  5. Step 5: Solve for x
    x = 6,850,725,177,321/1,691,102
  6. Step 6: Final answer
    x = 4,051,041.97

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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.