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Finding the Third Proportional to 772,407 and 1,682,118

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Solution

The third proportional to 772,407 and 1,682,118 is: 3,663,251.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,407 : 1,682,118 = 1,682,118 : x
  2. Step 2: Convert to fraction form
    772,407/1,682,118 = 1,682,118/x
  3. Step 3: Cross multiply
    772,407x = 1,682,118 × 1,682,118
  4. Step 4: Simplify right side
    772,407x = 2,829,520,965,924
  5. Step 5: Solve for x
    x = 2,829,520,965,924/772,407
  6. Step 6: Final answer
    x = 3,663,251.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.