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Finding the Third Proportional to 728,642 and 1,493,572

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Solution

The third proportional to 728,642 and 1,493,572 is: 3,061,527.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,642 : 1,493,572 = 1,493,572 : x
  2. Step 2: Convert to fraction form
    728,642/1,493,572 = 1,493,572/x
  3. Step 3: Cross multiply
    728,642x = 1,493,572 × 1,493,572
  4. Step 4: Simplify right side
    728,642x = 2,230,757,319,184
  5. Step 5: Solve for x
    x = 2,230,757,319,184/728,642
  6. Step 6: Final answer
    x = 3,061,527.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.