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Finding the Third Proportional to 644,596.88 and 1,366,030.69

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Solution

The third proportional to 644,596.88 and 1,366,030.69 is: 2,894,894.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,596.88 : 1,366,030.69 = 1,366,030.69 : x
  2. Step 2: Convert to fraction form
    644,596.88/1,366,030.69 = 1,366,030.69/x
  3. Step 3: Cross multiply
    644,596.88x = 1,366,030.69 × 1,366,030.69
  4. Step 4: Simplify right side
    644,596.88x = 1,866,039,839,191.72
  5. Step 5: Solve for x
    x = 1,866,039,839,191.72/644,596.88
  6. Step 6: Final answer
    x = 2,894,894.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.