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Finding the Third Proportional to 485,012 and 1,058,128

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Solution

The third proportional to 485,012 and 1,058,128 is: 2,308,468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,012 : 1,058,128 = 1,058,128 : x
  2. Step 2: Convert to fraction form
    485,012/1,058,128 = 1,058,128/x
  3. Step 3: Cross multiply
    485,012x = 1,058,128 × 1,058,128
  4. Step 4: Simplify right side
    485,012x = 1,119,634,864,384
  5. Step 5: Solve for x
    x = 1,119,634,864,384/485,012
  6. Step 6: Final answer
    x = 2,308,468.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.