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Finding the Third Proportional to 965,020 and 1,418,694

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Solution

The third proportional to 965,020 and 1,418,694 is: 2,085,648.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,020 : 1,418,694 = 1,418,694 : x
  2. Step 2: Convert to fraction form
    965,020/1,418,694 = 1,418,694/x
  3. Step 3: Cross multiply
    965,020x = 1,418,694 × 1,418,694
  4. Step 4: Simplify right side
    965,020x = 2,012,692,665,636
  5. Step 5: Solve for x
    x = 2,012,692,665,636/965,020
  6. Step 6: Final answer
    x = 2,085,648.66

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.