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Finding the Third Proportional to 590,996 and 1,251,412

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Solution

The third proportional to 590,996 and 1,251,412 is: 2,649,818.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,996 : 1,251,412 = 1,251,412 : x
  2. Step 2: Convert to fraction form
    590,996/1,251,412 = 1,251,412/x
  3. Step 3: Cross multiply
    590,996x = 1,251,412 × 1,251,412
  4. Step 4: Simplify right side
    590,996x = 1,566,031,993,744
  5. Step 5: Solve for x
    x = 1,566,031,993,744/590,996
  6. Step 6: Final answer
    x = 2,649,818.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.