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Finding the Third Proportional to 1,019,964 and 1,380,169.50

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Solution

The third proportional to 1,019,964 and 1,380,169.50 is: 1,867,583.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,964 : 1,380,169.50 = 1,380,169.50 : x
  2. Step 2: Convert to fraction form
    1,019,964/1,380,169.50 = 1,380,169.50/x
  3. Step 3: Cross multiply
    1,019,964x = 1,380,169.50 × 1,380,169.50
  4. Step 4: Simplify right side
    1,019,964x = 1,904,867,848,730.25
  5. Step 5: Solve for x
    x = 1,904,867,848,730.25/1,019,964
  6. Step 6: Final answer
    x = 1,867,583.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.