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Finding the Third Proportional to 676,125 and 1,458,903

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Solution

The third proportional to 676,125 and 1,458,903 is: 3,147,935.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,125 : 1,458,903 = 1,458,903 : x
  2. Step 2: Convert to fraction form
    676,125/1,458,903 = 1,458,903/x
  3. Step 3: Cross multiply
    676,125x = 1,458,903 × 1,458,903
  4. Step 4: Simplify right side
    676,125x = 2,128,397,963,409
  5. Step 5: Solve for x
    x = 2,128,397,963,409/676,125
  6. Step 6: Final answer
    x = 3,147,935.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.