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Finding the Third Proportional to 663,579 and 1,451,346

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Solution

The third proportional to 663,579 and 1,451,346 is: 3,174,309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,579 : 1,451,346 = 1,451,346 : x
  2. Step 2: Convert to fraction form
    663,579/1,451,346 = 1,451,346/x
  3. Step 3: Cross multiply
    663,579x = 1,451,346 × 1,451,346
  4. Step 4: Simplify right side
    663,579x = 2,106,405,211,716
  5. Step 5: Solve for x
    x = 2,106,405,211,716/663,579
  6. Step 6: Final answer
    x = 3,174,309.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.