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Finding the Third Proportional to 689,540 and 1,071,462

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Solution

The third proportional to 689,540 and 1,071,462 is: 1,664,922.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,540 : 1,071,462 = 1,071,462 : x
  2. Step 2: Convert to fraction form
    689,540/1,071,462 = 1,071,462/x
  3. Step 3: Cross multiply
    689,540x = 1,071,462 × 1,071,462
  4. Step 4: Simplify right side
    689,540x = 1,148,030,817,444
  5. Step 5: Solve for x
    x = 1,148,030,817,444/689,540
  6. Step 6: Final answer
    x = 1,664,922.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.