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Finding the Third Proportional to 596,856 and 843,726

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Solution

The third proportional to 596,856 and 843,726 is: 1,192,705.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,856 : 843,726 = 843,726 : x
  2. Step 2: Convert to fraction form
    596,856/843,726 = 843,726/x
  3. Step 3: Cross multiply
    596,856x = 843,726 × 843,726
  4. Step 4: Simplify right side
    596,856x = 711,873,563,076
  5. Step 5: Solve for x
    x = 711,873,563,076/596,856
  6. Step 6: Final answer
    x = 1,192,705.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.