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Finding the Third Proportional to 666,058 and 1,458,877

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Solution

The third proportional to 666,058 and 1,458,877 is: 3,195,400.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,058 : 1,458,877 = 1,458,877 : x
  2. Step 2: Convert to fraction form
    666,058/1,458,877 = 1,458,877/x
  3. Step 3: Cross multiply
    666,058x = 1,458,877 × 1,458,877
  4. Step 4: Simplify right side
    666,058x = 2,128,322,101,129
  5. Step 5: Solve for x
    x = 2,128,322,101,129/666,058
  6. Step 6: Final answer
    x = 3,195,400.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.