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Finding the Third Proportional to 561,411 and 1,206,883.50

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Solution

The third proportional to 561,411 and 1,206,883.50 is: 2,594,476.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,411 : 1,206,883.50 = 1,206,883.50 : x
  2. Step 2: Convert to fraction form
    561,411/1,206,883.50 = 1,206,883.50/x
  3. Step 3: Cross multiply
    561,411x = 1,206,883.50 × 1,206,883.50
  4. Step 4: Simplify right side
    561,411x = 1,456,567,782,572.25
  5. Step 5: Solve for x
    x = 1,456,567,782,572.25/561,411
  6. Step 6: Final answer
    x = 2,594,476.74

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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.