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Finding the Third Proportional to 1,009,800 and 2,177,064

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Solution

The third proportional to 1,009,800 and 2,177,064 is: 4,693,610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,800 : 2,177,064 = 2,177,064 : x
  2. Step 2: Convert to fraction form
    1,009,800/2,177,064 = 2,177,064/x
  3. Step 3: Cross multiply
    1,009,800x = 2,177,064 × 2,177,064
  4. Step 4: Simplify right side
    1,009,800x = 4,739,607,660,096
  5. Step 5: Solve for x
    x = 4,739,607,660,096/1,009,800
  6. Step 6: Final answer
    x = 4,693,610.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.