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Finding the Third Proportional to 1,760,062.97 and 3,655,019.44

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Solution

The third proportional to 1,760,062.97 and 3,655,019.44 is: 7,590,164.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760,062.97 : 3,655,019.44 = 3,655,019.44 : x
  2. Step 2: Convert to fraction form
    1,760,062.97/3,655,019.44 = 3,655,019.44/x
  3. Step 3: Cross multiply
    1,760,062.97x = 3,655,019.44 × 3,655,019.44
  4. Step 4: Simplify right side
    1,760,062.97x = 13,359,167,088,502.82
  5. Step 5: Solve for x
    x = 13,359,167,088,502.82/1,760,062.97
  6. Step 6: Final answer
    x = 7,590,164.29

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.