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Finding the Third Proportional to 2,583,411.75 and 5,561,712

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Solution

The third proportional to 2,583,411.75 and 5,561,712 is: 11,973,561.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583,411.75 : 5,561,712 = 5,561,712 : x
  2. Step 2: Convert to fraction form
    2,583,411.75/5,561,712 = 5,561,712/x
  3. Step 3: Cross multiply
    2,583,411.75x = 5,561,712 × 5,561,712
  4. Step 4: Simplify right side
    2,583,411.75x = 30,932,640,370,944
  5. Step 5: Solve for x
    x = 30,932,640,370,944/2,583,411.75
  6. Step 6: Final answer
    x = 11,973,561.85

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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.