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Finding the Third Proportional to 832,262 and 1,218,759

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Solution

The third proportional to 832,262 and 1,218,759 is: 1,784,742.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,262 : 1,218,759 = 1,218,759 : x
  2. Step 2: Convert to fraction form
    832,262/1,218,759 = 1,218,759/x
  3. Step 3: Cross multiply
    832,262x = 1,218,759 × 1,218,759
  4. Step 4: Simplify right side
    832,262x = 1,485,373,500,081
  5. Step 5: Solve for x
    x = 1,485,373,500,081/832,262
  6. Step 6: Final answer
    x = 1,784,742.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.