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Finding the Third Proportional to 1,548,118.50 and 3,497,607

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Solution

The third proportional to 1,548,118.50 and 3,497,607 is: 7,902,014.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548,118.50 : 3,497,607 = 3,497,607 : x
  2. Step 2: Convert to fraction form
    1,548,118.50/3,497,607 = 3,497,607/x
  3. Step 3: Cross multiply
    1,548,118.50x = 3,497,607 × 3,497,607
  4. Step 4: Simplify right side
    1,548,118.50x = 12,233,254,726,449
  5. Step 5: Solve for x
    x = 12,233,254,726,449/1,548,118.50
  6. Step 6: Final answer
    x = 7,902,014.43

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.