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Finding the Third Proportional to 606,226.15 and 842,909.10

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Solution

The third proportional to 606,226.15 and 842,909.10 is: 1,171,997.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,226.15 : 842,909.10 = 842,909.10 : x
  2. Step 2: Convert to fraction form
    606,226.15/842,909.10 = 842,909.10/x
  3. Step 3: Cross multiply
    606,226.15x = 842,909.10 × 842,909.10
  4. Step 4: Simplify right side
    606,226.15x = 710,495,746,911.67
  5. Step 5: Solve for x
    x = 710,495,746,911.67/606,226.15
  6. Step 6: Final answer
    x = 1,171,997.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.