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Finding the Third Proportional to 739,976 and 1,106,991

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Solution

The third proportional to 739,976 and 1,106,991 is: 1,656,038.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,976 : 1,106,991 = 1,106,991 : x
  2. Step 2: Convert to fraction form
    739,976/1,106,991 = 1,106,991/x
  3. Step 3: Cross multiply
    739,976x = 1,106,991 × 1,106,991
  4. Step 4: Simplify right side
    739,976x = 1,225,429,074,081
  5. Step 5: Solve for x
    x = 1,225,429,074,081/739,976
  6. Step 6: Final answer
    x = 1,656,038.94

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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.