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Finding the Third Proportional to 986,472 and 1,477,008

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Solution

The third proportional to 986,472 and 1,477,008 is: 2,211,469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,472 : 1,477,008 = 1,477,008 : x
  2. Step 2: Convert to fraction form
    986,472/1,477,008 = 1,477,008/x
  3. Step 3: Cross multiply
    986,472x = 1,477,008 × 1,477,008
  4. Step 4: Simplify right side
    986,472x = 2,181,552,632,064
  5. Step 5: Solve for x
    x = 2,181,552,632,064/986,472
  6. Step 6: Final answer
    x = 2,211,469.39

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