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Finding the Third Proportional to 807,180 and 1,754,328

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Solution

The third proportional to 807,180 and 1,754,328 is: 3,812,862.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,180 : 1,754,328 = 1,754,328 : x
  2. Step 2: Convert to fraction form
    807,180/1,754,328 = 1,754,328/x
  3. Step 3: Cross multiply
    807,180x = 1,754,328 × 1,754,328
  4. Step 4: Simplify right side
    807,180x = 3,077,666,731,584
  5. Step 5: Solve for x
    x = 3,077,666,731,584/807,180
  6. Step 6: Final answer
    x = 3,812,862.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.