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Finding the Third Proportional to 1,162,020 and 1,760,418

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Solution

The third proportional to 1,162,020 and 1,760,418 is: 2,666,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162,020 : 1,760,418 = 1,760,418 : x
  2. Step 2: Convert to fraction form
    1,162,020/1,760,418 = 1,760,418/x
  3. Step 3: Cross multiply
    1,162,020x = 1,760,418 × 1,760,418
  4. Step 4: Simplify right side
    1,162,020x = 3,099,071,534,724
  5. Step 5: Solve for x
    x = 3,099,071,534,724/1,162,020
  6. Step 6: Final answer
    x = 2,666,969.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.