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Finding the Third Proportional to 777,678.75 and 1,617,436.13

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Solution

The third proportional to 777,678.75 and 1,617,436.13 is: 3,363,984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,678.75 : 1,617,436.13 = 1,617,436.13 : x
  2. Step 2: Convert to fraction form
    777,678.75/1,617,436.13 = 1,617,436.13/x
  3. Step 3: Cross multiply
    777,678.75x = 1,617,436.13 × 1,617,436.13
  4. Step 4: Simplify right side
    777,678.75x = 2,616,099,618,455.02
  5. Step 5: Solve for x
    x = 2,616,099,618,455.02/777,678.75
  6. Step 6: Final answer
    x = 3,363,984.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.