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Finding the Third Proportional to 1,241,820.75 and 2,749,224

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Solution

The third proportional to 1,241,820.75 and 2,749,224 is: 6,086,411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,820.75 : 2,749,224 = 2,749,224 : x
  2. Step 2: Convert to fraction form
    1,241,820.75/2,749,224 = 2,749,224/x
  3. Step 3: Cross multiply
    1,241,820.75x = 2,749,224 × 2,749,224
  4. Step 4: Simplify right side
    1,241,820.75x = 7,558,232,602,176
  5. Step 5: Solve for x
    x = 7,558,232,602,176/1,241,820.75
  6. Step 6: Final answer
    x = 6,086,411.91

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.