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Finding the Third Proportional to 2,058,669.06 and 4,471,730.75

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Solution

The third proportional to 2,058,669.06 and 4,471,730.75 is: 9,713,254.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058,669.06 : 4,471,730.75 = 4,471,730.75 : x
  2. Step 2: Convert to fraction form
    2,058,669.06/4,471,730.75 = 4,471,730.75/x
  3. Step 3: Cross multiply
    2,058,669.06x = 4,471,730.75 × 4,471,730.75
  4. Step 4: Simplify right side
    2,058,669.06x = 19,996,375,900,495.56
  5. Step 5: Solve for x
    x = 19,996,375,900,495.56/2,058,669.06
  6. Step 6: Final answer
    x = 9,713,254.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.