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Finding the Third Proportional to 739,974 and 1,106,943

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Solution

The third proportional to 739,974 and 1,106,943 is: 1,655,899.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,974 : 1,106,943 = 1,106,943 : x
  2. Step 2: Convert to fraction form
    739,974/1,106,943 = 1,106,943/x
  3. Step 3: Cross multiply
    739,974x = 1,106,943 × 1,106,943
  4. Step 4: Simplify right side
    739,974x = 1,225,322,805,249
  5. Step 5: Solve for x
    x = 1,225,322,805,249/739,974
  6. Step 6: Final answer
    x = 1,655,899.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.