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Finding the Third Proportional to 667,648 and 1,484,560

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Solution

The third proportional to 667,648 and 1,484,560 is: 3,301,018.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,648 : 1,484,560 = 1,484,560 : x
  2. Step 2: Convert to fraction form
    667,648/1,484,560 = 1,484,560/x
  3. Step 3: Cross multiply
    667,648x = 1,484,560 × 1,484,560
  4. Step 4: Simplify right side
    667,648x = 2,203,918,393,600
  5. Step 5: Solve for x
    x = 2,203,918,393,600/667,648
  6. Step 6: Final answer
    x = 3,301,018.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.