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Finding the Third Proportional to 810,952 and 1,168,150

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Solution

The third proportional to 810,952 and 1,168,150 is: 1,682,682.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,952 : 1,168,150 = 1,168,150 : x
  2. Step 2: Convert to fraction form
    810,952/1,168,150 = 1,168,150/x
  3. Step 3: Cross multiply
    810,952x = 1,168,150 × 1,168,150
  4. Step 4: Simplify right side
    810,952x = 1,364,574,422,500
  5. Step 5: Solve for x
    x = 1,364,574,422,500/810,952
  6. Step 6: Final answer
    x = 1,682,682.11

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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.