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Finding the Third Proportional to 719,712 and 1,036,800

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Solution

The third proportional to 719,712 and 1,036,800 is: 1,493,589.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,712 : 1,036,800 = 1,036,800 : x
  2. Step 2: Convert to fraction form
    719,712/1,036,800 = 1,036,800/x
  3. Step 3: Cross multiply
    719,712x = 1,036,800 × 1,036,800
  4. Step 4: Simplify right side
    719,712x = 1,074,954,240,000
  5. Step 5: Solve for x
    x = 1,074,954,240,000/719,712
  6. Step 6: Final answer
    x = 1,493,589.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.