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Finding the Third Proportional to 559,828 and 1,208,064

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Solution

The third proportional to 559,828 and 1,208,064 is: 2,606,905.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,828 : 1,208,064 = 1,208,064 : x
  2. Step 2: Convert to fraction form
    559,828/1,208,064 = 1,208,064/x
  3. Step 3: Cross multiply
    559,828x = 1,208,064 × 1,208,064
  4. Step 4: Simplify right side
    559,828x = 1,459,418,628,096
  5. Step 5: Solve for x
    x = 1,459,418,628,096/559,828
  6. Step 6: Final answer
    x = 2,606,905.39

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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.