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Finding the Third Proportional to 562,022 and 834,343

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Solution

The third proportional to 562,022 and 834,343 is: 1,238,613.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,022 : 834,343 = 834,343 : x
  2. Step 2: Convert to fraction form
    562,022/834,343 = 834,343/x
  3. Step 3: Cross multiply
    562,022x = 834,343 × 834,343
  4. Step 4: Simplify right side
    562,022x = 696,128,241,649
  5. Step 5: Solve for x
    x = 696,128,241,649/562,022
  6. Step 6: Final answer
    x = 1,238,613.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.