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Finding the Third Proportional to 719,343 and 1,575,738

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Solution

The third proportional to 719,343 and 1,575,738 is: 3,451,691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,343 : 1,575,738 = 1,575,738 : x
  2. Step 2: Convert to fraction form
    719,343/1,575,738 = 1,575,738/x
  3. Step 3: Cross multiply
    719,343x = 1,575,738 × 1,575,738
  4. Step 4: Simplify right side
    719,343x = 2,482,950,244,644
  5. Step 5: Solve for x
    x = 2,482,950,244,644/719,343
  6. Step 6: Final answer
    x = 3,451,691.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.