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Finding the Third Proportional to 763,104 and 1,657,536

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Solution

The third proportional to 763,104 and 1,657,536 is: 3,600,329.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,104 : 1,657,536 = 1,657,536 : x
  2. Step 2: Convert to fraction form
    763,104/1,657,536 = 1,657,536/x
  3. Step 3: Cross multiply
    763,104x = 1,657,536 × 1,657,536
  4. Step 4: Simplify right side
    763,104x = 2,747,425,591,296
  5. Step 5: Solve for x
    x = 2,747,425,591,296/763,104
  6. Step 6: Final answer
    x = 3,600,329.17

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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.