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Finding the Third Proportional to 485,010 and 1,058,124

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Solution

The third proportional to 485,010 and 1,058,124 is: 2,308,460.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,010 : 1,058,124 = 1,058,124 : x
  2. Step 2: Convert to fraction form
    485,010/1,058,124 = 1,058,124/x
  3. Step 3: Cross multiply
    485,010x = 1,058,124 × 1,058,124
  4. Step 4: Simplify right side
    485,010x = 1,119,626,399,376
  5. Step 5: Solve for x
    x = 1,119,626,399,376/485,010
  6. Step 6: Final answer
    x = 2,308,460.44

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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.