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Finding the Third Proportional to 775,801 and 1,210,850

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Solution

The third proportional to 775,801 and 1,210,850 is: 1,889,863.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,801 : 1,210,850 = 1,210,850 : x
  2. Step 2: Convert to fraction form
    775,801/1,210,850 = 1,210,850/x
  3. Step 3: Cross multiply
    775,801x = 1,210,850 × 1,210,850
  4. Step 4: Simplify right side
    775,801x = 1,466,157,722,500
  5. Step 5: Solve for x
    x = 1,466,157,722,500/775,801
  6. Step 6: Final answer
    x = 1,889,863.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.