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Finding the Third Proportional to 739,983 and 1,106,997

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Solution

The third proportional to 739,983 and 1,106,997 is: 1,656,041.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,983 : 1,106,997 = 1,106,997 : x
  2. Step 2: Convert to fraction form
    739,983/1,106,997 = 1,106,997/x
  3. Step 3: Cross multiply
    739,983x = 1,106,997 × 1,106,997
  4. Step 4: Simplify right side
    739,983x = 1,225,442,358,009
  5. Step 5: Solve for x
    x = 1,225,442,358,009/739,983
  6. Step 6: Final answer
    x = 1,656,041.23

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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.