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Finding the Third Proportional to 608,796 and 969,570

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Solution

The third proportional to 608,796 and 969,570 is: 1,544,139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,796 : 969,570 = 969,570 : x
  2. Step 2: Convert to fraction form
    608,796/969,570 = 969,570/x
  3. Step 3: Cross multiply
    608,796x = 969,570 × 969,570
  4. Step 4: Simplify right side
    608,796x = 940,065,984,900
  5. Step 5: Solve for x
    x = 940,065,984,900/608,796
  6. Step 6: Final answer
    x = 1,544,139.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.