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Finding the Third Proportional to 570,206 and 1,234,520

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Solution

The third proportional to 570,206 and 1,234,520 is: 2,672,787.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,206 : 1,234,520 = 1,234,520 : x
  2. Step 2: Convert to fraction form
    570,206/1,234,520 = 1,234,520/x
  3. Step 3: Cross multiply
    570,206x = 1,234,520 × 1,234,520
  4. Step 4: Simplify right side
    570,206x = 1,524,039,630,400
  5. Step 5: Solve for x
    x = 1,524,039,630,400/570,206
  6. Step 6: Final answer
    x = 2,672,787.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.