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Finding the Third Proportional to 1,309,861.13 and 2,863,182.94

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Solution

The third proportional to 1,309,861.13 and 2,863,182.94 is: 6,258,538.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,861.13 : 2,863,182.94 = 2,863,182.94 : x
  2. Step 2: Convert to fraction form
    1,309,861.13/2,863,182.94 = 2,863,182.94/x
  3. Step 3: Cross multiply
    1,309,861.13x = 2,863,182.94 × 2,863,182.94
  4. Step 4: Simplify right side
    1,309,861.13x = 8,197,816,533,591.13
  5. Step 5: Solve for x
    x = 8,197,816,533,591.13/1,309,861.13
  6. Step 6: Final answer
    x = 6,258,538.69

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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.