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Finding the Third Proportional to 763,200 and 1,657,608

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Solution

The third proportional to 763,200 and 1,657,608 is: 3,600,189.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,200 : 1,657,608 = 1,657,608 : x
  2. Step 2: Convert to fraction form
    763,200/1,657,608 = 1,657,608/x
  3. Step 3: Cross multiply
    763,200x = 1,657,608 × 1,657,608
  4. Step 4: Simplify right side
    763,200x = 2,747,664,281,664
  5. Step 5: Solve for x
    x = 2,747,664,281,664/763,200
  6. Step 6: Final answer
    x = 3,600,189.05

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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.