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Finding the Third Proportional to 1,143,613.69 and 1,677,216.38

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Solution

The third proportional to 1,143,613.69 and 1,677,216.38 is: 2,459,794.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,613.69 : 1,677,216.38 = 1,677,216.38 : x
  2. Step 2: Convert to fraction form
    1,143,613.69/1,677,216.38 = 1,677,216.38/x
  3. Step 3: Cross multiply
    1,143,613.69x = 1,677,216.38 × 1,677,216.38
  4. Step 4: Simplify right side
    1,143,613.69x = 2,813,054,768,568.14
  5. Step 5: Solve for x
    x = 2,813,054,768,568.14/1,143,613.69
  6. Step 6: Final answer
    x = 2,459,794.60

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.