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Finding the Third Proportional to 807,216 and 1,712,826

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Solution

The third proportional to 807,216 and 1,712,826 is: 3,634,433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,216 : 1,712,826 = 1,712,826 : x
  2. Step 2: Convert to fraction form
    807,216/1,712,826 = 1,712,826/x
  3. Step 3: Cross multiply
    807,216x = 1,712,826 × 1,712,826
  4. Step 4: Simplify right side
    807,216x = 2,933,772,906,276
  5. Step 5: Solve for x
    x = 2,933,772,906,276/807,216
  6. Step 6: Final answer
    x = 3,634,433.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.