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Finding the Third Proportional to 610,201.13 and 1,312,232.34

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Solution

The third proportional to 610,201.13 and 1,312,232.34 is: 2,821,944.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,201.13 : 1,312,232.34 = 1,312,232.34 : x
  2. Step 2: Convert to fraction form
    610,201.13/1,312,232.34 = 1,312,232.34/x
  3. Step 3: Cross multiply
    610,201.13x = 1,312,232.34 × 1,312,232.34
  4. Step 4: Simplify right side
    610,201.13x = 1,721,953,723,983.62
  5. Step 5: Solve for x
    x = 1,721,953,723,983.62/610,201.13
  6. Step 6: Final answer
    x = 2,821,944.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.