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Finding the Third Proportional to 644,519.25 and 1,417,740.75

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Solution

The third proportional to 644,519.25 and 1,417,740.75 is: 3,118,586.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,519.25 : 1,417,740.75 = 1,417,740.75 : x
  2. Step 2: Convert to fraction form
    644,519.25/1,417,740.75 = 1,417,740.75/x
  3. Step 3: Cross multiply
    644,519.25x = 1,417,740.75 × 1,417,740.75
  4. Step 4: Simplify right side
    644,519.25x = 2,009,988,834,210.56
  5. Step 5: Solve for x
    x = 2,009,988,834,210.56/644,519.25
  6. Step 6: Final answer
    x = 3,118,586.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.