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Finding the Third Proportional to 665,828 and 1,029,816

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Solution

The third proportional to 665,828 and 1,029,816 is: 1,592,785.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,828 : 1,029,816 = 1,029,816 : x
  2. Step 2: Convert to fraction form
    665,828/1,029,816 = 1,029,816/x
  3. Step 3: Cross multiply
    665,828x = 1,029,816 × 1,029,816
  4. Step 4: Simplify right side
    665,828x = 1,060,520,993,856
  5. Step 5: Solve for x
    x = 1,060,520,993,856/665,828
  6. Step 6: Final answer
    x = 1,592,785.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.