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Finding the Third Proportional to 644,584.87 and 1,366,008.05

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Solution

The third proportional to 644,584.87 and 1,366,008.05 is: 2,894,852.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,584.87 : 1,366,008.05 = 1,366,008.05 : x
  2. Step 2: Convert to fraction form
    644,584.87/1,366,008.05 = 1,366,008.05/x
  3. Step 3: Cross multiply
    644,584.87x = 1,366,008.05 × 1,366,008.05
  4. Step 4: Simplify right side
    644,584.87x = 1,865,977,984,127.25
  5. Step 5: Solve for x
    x = 1,865,977,984,127.25/644,584.87
  6. Step 6: Final answer
    x = 2,894,852.29

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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.