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Finding the Third Proportional to 675,653 and 1,468,126

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Solution

The third proportional to 675,653 and 1,468,126 is: 3,190,090.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,653 : 1,468,126 = 1,468,126 : x
  2. Step 2: Convert to fraction form
    675,653/1,468,126 = 1,468,126/x
  3. Step 3: Cross multiply
    675,653x = 1,468,126 × 1,468,126
  4. Step 4: Simplify right side
    675,653x = 2,155,393,951,876
  5. Step 5: Solve for x
    x = 2,155,393,951,876/675,653
  6. Step 6: Final answer
    x = 3,190,090.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.