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Finding the Third Proportional to 832,158 and 1,218,615

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Solution

The third proportional to 832,158 and 1,218,615 is: 1,784,543.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,158 : 1,218,615 = 1,218,615 : x
  2. Step 2: Convert to fraction form
    832,158/1,218,615 = 1,218,615/x
  3. Step 3: Cross multiply
    832,158x = 1,218,615 × 1,218,615
  4. Step 4: Simplify right side
    832,158x = 1,485,022,518,225
  5. Step 5: Solve for x
    x = 1,485,022,518,225/832,158
  6. Step 6: Final answer
    x = 1,784,543.94

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