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Finding the Third Proportional to 806,071.50 and 1,738,017

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Solution

The third proportional to 806,071.50 and 1,738,017 is: 3,747,438.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,071.50 : 1,738,017 = 1,738,017 : x
  2. Step 2: Convert to fraction form
    806,071.50/1,738,017 = 1,738,017/x
  3. Step 3: Cross multiply
    806,071.50x = 1,738,017 × 1,738,017
  4. Step 4: Simplify right side
    806,071.50x = 3,020,703,092,289
  5. Step 5: Solve for x
    x = 3,020,703,092,289/806,071.50
  6. Step 6: Final answer
    x = 3,747,438.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.