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Finding the Third Proportional to 808,102 and 1,767,653

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Solution

The third proportional to 808,102 and 1,767,653 is: 3,866,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,102 : 1,767,653 = 1,767,653 : x
  2. Step 2: Convert to fraction form
    808,102/1,767,653 = 1,767,653/x
  3. Step 3: Cross multiply
    808,102x = 1,767,653 × 1,767,653
  4. Step 4: Simplify right side
    808,102x = 3,124,597,128,409
  5. Step 5: Solve for x
    x = 3,124,597,128,409/808,102
  6. Step 6: Final answer
    x = 3,866,587.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.