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Finding the Third Proportional to 666,316.13 and 1,058,523.19

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Solution

The third proportional to 666,316.13 and 1,058,523.19 is: 1,681,591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,316.13 : 1,058,523.19 = 1,058,523.19 : x
  2. Step 2: Convert to fraction form
    666,316.13/1,058,523.19 = 1,058,523.19/x
  3. Step 3: Cross multiply
    666,316.13x = 1,058,523.19 × 1,058,523.19
  4. Step 4: Simplify right side
    666,316.13x = 1,120,471,338,475.16
  5. Step 5: Solve for x
    x = 1,120,471,338,475.16/666,316.13
  6. Step 6: Final answer
    x = 1,681,591.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.