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Finding the Third Proportional to 420,556 and 934,424

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Solution

The third proportional to 420,556 and 934,424 is: 2,076,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,556 : 934,424 = 934,424 : x
  2. Step 2: Convert to fraction form
    420,556/934,424 = 934,424/x
  3. Step 3: Cross multiply
    420,556x = 934,424 × 934,424
  4. Step 4: Simplify right side
    420,556x = 873,148,211,776
  5. Step 5: Solve for x
    x = 873,148,211,776/420,556
  6. Step 6: Final answer
    x = 2,076,175.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.