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Finding the Third Proportional to 488,216 and 1,028,924

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Solution

The third proportional to 488,216 and 1,028,924 is: 2,168,475.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,216 : 1,028,924 = 1,028,924 : x
  2. Step 2: Convert to fraction form
    488,216/1,028,924 = 1,028,924/x
  3. Step 3: Cross multiply
    488,216x = 1,028,924 × 1,028,924
  4. Step 4: Simplify right side
    488,216x = 1,058,684,597,776
  5. Step 5: Solve for x
    x = 1,058,684,597,776/488,216
  6. Step 6: Final answer
    x = 2,168,475.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.