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Finding the Third Proportional to 1,101,978 and 1,669,602.38

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Solution

The third proportional to 1,101,978 and 1,669,602.38 is: 2,529,607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101,978 : 1,669,602.38 = 1,669,602.38 : x
  2. Step 2: Convert to fraction form
    1,101,978/1,669,602.38 = 1,669,602.38/x
  3. Step 3: Cross multiply
    1,101,978x = 1,669,602.38 × 1,669,602.38
  4. Step 4: Simplify right side
    1,101,978x = 2,787,572,090,605.64
  5. Step 5: Solve for x
    x = 2,787,572,090,605.64/1,101,978
  6. Step 6: Final answer
    x = 2,529,607.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.