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Finding the Third Proportional to 561,690 and 1,217,961

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Solution

The third proportional to 561,690 and 1,217,961 is: 2,641,010.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,690 : 1,217,961 = 1,217,961 : x
  2. Step 2: Convert to fraction form
    561,690/1,217,961 = 1,217,961/x
  3. Step 3: Cross multiply
    561,690x = 1,217,961 × 1,217,961
  4. Step 4: Simplify right side
    561,690x = 1,483,428,997,521
  5. Step 5: Solve for x
    x = 1,483,428,997,521/561,690
  6. Step 6: Final answer
    x = 2,641,010.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.