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Finding the Third Proportional to 611,117 and 1,315,849

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Solution

The third proportional to 611,117 and 1,315,849 is: 2,833,268.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,117 : 1,315,849 = 1,315,849 : x
  2. Step 2: Convert to fraction form
    611,117/1,315,849 = 1,315,849/x
  3. Step 3: Cross multiply
    611,117x = 1,315,849 × 1,315,849
  4. Step 4: Simplify right side
    611,117x = 1,731,458,590,801
  5. Step 5: Solve for x
    x = 1,731,458,590,801/611,117
  6. Step 6: Final answer
    x = 2,833,268.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.