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Finding the Third Proportional to 864,465.75 and 1,388,962.69

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Solution

The third proportional to 864,465.75 and 1,388,962.69 is: 2,231,687.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,465.75 : 1,388,962.69 = 1,388,962.69 : x
  2. Step 2: Convert to fraction form
    864,465.75/1,388,962.69 = 1,388,962.69/x
  3. Step 3: Cross multiply
    864,465.75x = 1,388,962.69 × 1,388,962.69
  4. Step 4: Simplify right side
    864,465.75x = 1,929,217,347,267.22
  5. Step 5: Solve for x
    x = 1,929,217,347,267.22/864,465.75
  6. Step 6: Final answer
    x = 2,231,687.43

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.