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Finding the Third Proportional to 729,968 and 1,069,744

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Solution

The third proportional to 729,968 and 1,069,744 is: 1,567,674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,968 : 1,069,744 = 1,069,744 : x
  2. Step 2: Convert to fraction form
    729,968/1,069,744 = 1,069,744/x
  3. Step 3: Cross multiply
    729,968x = 1,069,744 × 1,069,744
  4. Step 4: Simplify right side
    729,968x = 1,144,352,225,536
  5. Step 5: Solve for x
    x = 1,144,352,225,536/729,968
  6. Step 6: Final answer
    x = 1,567,674.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.