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Finding the Third Proportional to 591,678 and 1,277,910

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Solution

The third proportional to 591,678 and 1,277,910 is: 2,760,038.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,678 : 1,277,910 = 1,277,910 : x
  2. Step 2: Convert to fraction form
    591,678/1,277,910 = 1,277,910/x
  3. Step 3: Cross multiply
    591,678x = 1,277,910 × 1,277,910
  4. Step 4: Simplify right side
    591,678x = 1,633,053,968,100
  5. Step 5: Solve for x
    x = 1,633,053,968,100/591,678
  6. Step 6: Final answer
    x = 2,760,038.35

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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.