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Finding the Third Proportional to 590,494 and 1,254,800

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Solution

The third proportional to 590,494 and 1,254,800 is: 2,666,450.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,494 : 1,254,800 = 1,254,800 : x
  2. Step 2: Convert to fraction form
    590,494/1,254,800 = 1,254,800/x
  3. Step 3: Cross multiply
    590,494x = 1,254,800 × 1,254,800
  4. Step 4: Simplify right side
    590,494x = 1,574,523,040,000
  5. Step 5: Solve for x
    x = 1,574,523,040,000/590,494
  6. Step 6: Final answer
    x = 2,666,450.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.