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Finding the Third Proportional to 740,193 and 1,590,522

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Solution

The third proportional to 740,193 and 1,590,522 is: 3,417,703.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,193 : 1,590,522 = 1,590,522 : x
  2. Step 2: Convert to fraction form
    740,193/1,590,522 = 1,590,522/x
  3. Step 3: Cross multiply
    740,193x = 1,590,522 × 1,590,522
  4. Step 4: Simplify right side
    740,193x = 2,529,760,232,484
  5. Step 5: Solve for x
    x = 2,529,760,232,484/740,193
  6. Step 6: Final answer
    x = 3,417,703.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.