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Finding the Third Proportional to 675,702 and 910,126

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Solution

The third proportional to 675,702 and 910,126 is: 1,225,879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,702 : 910,126 = 910,126 : x
  2. Step 2: Convert to fraction form
    675,702/910,126 = 910,126/x
  3. Step 3: Cross multiply
    675,702x = 910,126 × 910,126
  4. Step 4: Simplify right side
    675,702x = 828,329,335,876
  5. Step 5: Solve for x
    x = 828,329,335,876/675,702
  6. Step 6: Final answer
    x = 1,225,879.66

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Why These Related Problems?

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