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Finding the Third Proportional to 986,008 and 1,409,010

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Solution

The third proportional to 986,008 and 1,409,010 is: 2,013,481.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,008 : 1,409,010 = 1,409,010 : x
  2. Step 2: Convert to fraction form
    986,008/1,409,010 = 1,409,010/x
  3. Step 3: Cross multiply
    986,008x = 1,409,010 × 1,409,010
  4. Step 4: Simplify right side
    986,008x = 1,985,309,180,100
  5. Step 5: Solve for x
    x = 1,985,309,180,100/986,008
  6. Step 6: Final answer
    x = 2,013,481.82

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.