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Finding the Third Proportional to 763,237 and 1,657,694

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Solution

The third proportional to 763,237 and 1,657,694 is: 3,600,388.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,237 : 1,657,694 = 1,657,694 : x
  2. Step 2: Convert to fraction form
    763,237/1,657,694 = 1,657,694/x
  3. Step 3: Cross multiply
    763,237x = 1,657,694 × 1,657,694
  4. Step 4: Simplify right side
    763,237x = 2,747,949,397,636
  5. Step 5: Solve for x
    x = 2,747,949,397,636/763,237
  6. Step 6: Final answer
    x = 3,600,388.08

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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.