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Finding the Third Proportional to 713,224 and 1,538,799

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Solution

The third proportional to 713,224 and 1,538,799 is: 3,319,998.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,224 : 1,538,799 = 1,538,799 : x
  2. Step 2: Convert to fraction form
    713,224/1,538,799 = 1,538,799/x
  3. Step 3: Cross multiply
    713,224x = 1,538,799 × 1,538,799
  4. Step 4: Simplify right side
    713,224x = 2,367,902,362,401
  5. Step 5: Solve for x
    x = 2,367,902,362,401/713,224
  6. Step 6: Final answer
    x = 3,319,998.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.