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Finding the Third Proportional to 825,924 and 1,250,317.50

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Solution

The third proportional to 825,924 and 1,250,317.50 is: 1,892,781.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,924 : 1,250,317.50 = 1,250,317.50 : x
  2. Step 2: Convert to fraction form
    825,924/1,250,317.50 = 1,250,317.50/x
  3. Step 3: Cross multiply
    825,924x = 1,250,317.50 × 1,250,317.50
  4. Step 4: Simplify right side
    825,924x = 1,563,293,850,806.25
  5. Step 5: Solve for x
    x = 1,563,293,850,806.25/825,924
  6. Step 6: Final answer
    x = 1,892,781.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.