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Finding the Third Proportional to 806,178 and 1,759,716

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Solution

The third proportional to 806,178 and 1,759,716 is: 3,841,087.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,178 : 1,759,716 = 1,759,716 : x
  2. Step 2: Convert to fraction form
    806,178/1,759,716 = 1,759,716/x
  3. Step 3: Cross multiply
    806,178x = 1,759,716 × 1,759,716
  4. Step 4: Simplify right side
    806,178x = 3,096,600,400,656
  5. Step 5: Solve for x
    x = 3,096,600,400,656/806,178
  6. Step 6: Final answer
    x = 3,841,087.70

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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.