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Finding the Third Proportional to 658,058.63 and 1,424,062.13

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Solution

The third proportional to 658,058.63 and 1,424,062.13 is: 3,081,720.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,058.63 : 1,424,062.13 = 1,424,062.13 : x
  2. Step 2: Convert to fraction form
    658,058.63/1,424,062.13 = 1,424,062.13/x
  3. Step 3: Cross multiply
    658,058.63x = 1,424,062.13 × 1,424,062.13
  4. Step 4: Simplify right side
    658,058.63x = 2,027,952,935,859.52
  5. Step 5: Solve for x
    x = 2,027,952,935,859.52/658,058.63
  6. Step 6: Final answer
    x = 3,081,720.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.