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Finding the Third Proportional to 591,913 and 1,278,407

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Solution

The third proportional to 591,913 and 1,278,407 is: 2,761,088.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,913 : 1,278,407 = 1,278,407 : x
  2. Step 2: Convert to fraction form
    591,913/1,278,407 = 1,278,407/x
  3. Step 3: Cross multiply
    591,913x = 1,278,407 × 1,278,407
  4. Step 4: Simplify right side
    591,913x = 1,634,324,457,649
  5. Step 5: Solve for x
    x = 1,634,324,457,649/591,913
  6. Step 6: Final answer
    x = 2,761,088.97

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Why These Related Problems?

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