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Finding the Third Proportional to 825,715.13 and 1,162,756.69

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Solution

The third proportional to 825,715.13 and 1,162,756.69 is: 1,637,372.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,715.13 : 1,162,756.69 = 1,162,756.69 : x
  2. Step 2: Convert to fraction form
    825,715.13/1,162,756.69 = 1,162,756.69/x
  3. Step 3: Cross multiply
    825,715.13x = 1,162,756.69 × 1,162,756.69
  4. Step 4: Simplify right side
    825,715.13x = 1,352,003,114,325.97
  5. Step 5: Solve for x
    x = 1,352,003,114,325.97/825,715.13
  6. Step 6: Final answer
    x = 1,637,372.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.