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Finding the Third Proportional to 808,152 and 1,758,180

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Solution

The third proportional to 808,152 and 1,758,180 is: 3,825,019.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,152 : 1,758,180 = 1,758,180 : x
  2. Step 2: Convert to fraction form
    808,152/1,758,180 = 1,758,180/x
  3. Step 3: Cross multiply
    808,152x = 1,758,180 × 1,758,180
  4. Step 4: Simplify right side
    808,152x = 3,091,196,912,400
  5. Step 5: Solve for x
    x = 3,091,196,912,400/808,152
  6. Step 6: Final answer
    x = 3,825,019.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.