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Finding the Third Proportional to 723,826 and 1,590,414

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Solution

The third proportional to 723,826 and 1,590,414 is: 3,494,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,826 : 1,590,414 = 1,590,414 : x
  2. Step 2: Convert to fraction form
    723,826/1,590,414 = 1,590,414/x
  3. Step 3: Cross multiply
    723,826x = 1,590,414 × 1,590,414
  4. Step 4: Simplify right side
    723,826x = 2,529,416,691,396
  5. Step 5: Solve for x
    x = 2,529,416,691,396/723,826
  6. Step 6: Final answer
    x = 3,494,509.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.