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Finding the Third Proportional to 724,972 and 1,065,268

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Solution

The third proportional to 724,972 and 1,065,268 is: 1,565,296.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,972 : 1,065,268 = 1,065,268 : x
  2. Step 2: Convert to fraction form
    724,972/1,065,268 = 1,065,268/x
  3. Step 3: Cross multiply
    724,972x = 1,065,268 × 1,065,268
  4. Step 4: Simplify right side
    724,972x = 1,134,795,911,824
  5. Step 5: Solve for x
    x = 1,134,795,911,824/724,972
  6. Step 6: Final answer
    x = 1,565,296.19

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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.