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Finding the Third Proportional to 675,700 and 910,122.75

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Solution

The third proportional to 675,700 and 910,122.75 is: 1,225,874.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,700 : 910,122.75 = 910,122.75 : x
  2. Step 2: Convert to fraction form
    675,700/910,122.75 = 910,122.75/x
  3. Step 3: Cross multiply
    675,700x = 910,122.75 × 910,122.75
  4. Step 4: Simplify right side
    675,700x = 828,323,420,067.56
  5. Step 5: Solve for x
    x = 828,323,420,067.56/675,700
  6. Step 6: Final answer
    x = 1,225,874.53

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.