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Finding the Third Proportional to 490,382 and 1,058,221

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Solution

The third proportional to 490,382 and 1,058,221 is: 2,283,590.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,382 : 1,058,221 = 1,058,221 : x
  2. Step 2: Convert to fraction form
    490,382/1,058,221 = 1,058,221/x
  3. Step 3: Cross multiply
    490,382x = 1,058,221 × 1,058,221
  4. Step 4: Simplify right side
    490,382x = 1,119,831,684,841
  5. Step 5: Solve for x
    x = 1,119,831,684,841/490,382
  6. Step 6: Final answer
    x = 2,283,590.52

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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.