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Finding the Third Proportional to 864,958.50 and 1,290,276.84

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Solution

The third proportional to 864,958.50 and 1,290,276.84 is: 1,924,733.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,958.50 : 1,290,276.84 = 1,290,276.84 : x
  2. Step 2: Convert to fraction form
    864,958.50/1,290,276.84 = 1,290,276.84/x
  3. Step 3: Cross multiply
    864,958.50x = 1,290,276.84 × 1,290,276.84
  4. Step 4: Simplify right side
    864,958.50x = 1,664,814,333,517.46
  5. Step 5: Solve for x
    x = 1,664,814,333,517.46/864,958.50
  6. Step 6: Final answer
    x = 1,924,733.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.