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Finding the Third Proportional to 873,400 and 1,325,856

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Solution

The third proportional to 873,400 and 1,325,856 is: 2,012,702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,400 : 1,325,856 = 1,325,856 : x
  2. Step 2: Convert to fraction form
    873,400/1,325,856 = 1,325,856/x
  3. Step 3: Cross multiply
    873,400x = 1,325,856 × 1,325,856
  4. Step 4: Simplify right side
    873,400x = 1,757,894,132,736
  5. Step 5: Solve for x
    x = 1,757,894,132,736/873,400
  6. Step 6: Final answer
    x = 2,012,702.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.