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Finding the Third Proportional to 933,201 and 1,400,535

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Solution

The third proportional to 933,201 and 1,400,535 is: 2,101,903.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,201 : 1,400,535 = 1,400,535 : x
  2. Step 2: Convert to fraction form
    933,201/1,400,535 = 1,400,535/x
  3. Step 3: Cross multiply
    933,201x = 1,400,535 × 1,400,535
  4. Step 4: Simplify right side
    933,201x = 1,961,498,286,225
  5. Step 5: Solve for x
    x = 1,961,498,286,225/933,201
  6. Step 6: Final answer
    x = 2,101,903.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.