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Finding the Third Proportional to 864,214 and 1,244,932

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Solution

The third proportional to 864,214 and 1,244,932 is: 1,793,370.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,214 : 1,244,932 = 1,244,932 : x
  2. Step 2: Convert to fraction form
    864,214/1,244,932 = 1,244,932/x
  3. Step 3: Cross multiply
    864,214x = 1,244,932 × 1,244,932
  4. Step 4: Simplify right side
    864,214x = 1,549,855,684,624
  5. Step 5: Solve for x
    x = 1,549,855,684,624/864,214
  6. Step 6: Final answer
    x = 1,793,370.26

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.