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Finding the Third Proportional to 590,170 and 1,264,484

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Solution

The third proportional to 590,170 and 1,264,484 is: 2,709,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,170 : 1,264,484 = 1,264,484 : x
  2. Step 2: Convert to fraction form
    590,170/1,264,484 = 1,264,484/x
  3. Step 3: Cross multiply
    590,170x = 1,264,484 × 1,264,484
  4. Step 4: Simplify right side
    590,170x = 1,598,919,786,256
  5. Step 5: Solve for x
    x = 1,598,919,786,256/590,170
  6. Step 6: Final answer
    x = 2,709,252.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.