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Finding the Third Proportional to 731,104 and 1,603,442

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Solution

The third proportional to 731,104 and 1,603,442 is: 3,516,635.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,104 : 1,603,442 = 1,603,442 : x
  2. Step 2: Convert to fraction form
    731,104/1,603,442 = 1,603,442/x
  3. Step 3: Cross multiply
    731,104x = 1,603,442 × 1,603,442
  4. Step 4: Simplify right side
    731,104x = 2,571,026,247,364
  5. Step 5: Solve for x
    x = 2,571,026,247,364/731,104
  6. Step 6: Final answer
    x = 3,516,635.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.