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Finding the Third Proportional to 841,856.63 and 1,846,698.75

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Solution

The third proportional to 841,856.63 and 1,846,698.75 is: 4,050,922.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,856.63 : 1,846,698.75 = 1,846,698.75 : x
  2. Step 2: Convert to fraction form
    841,856.63/1,846,698.75 = 1,846,698.75/x
  3. Step 3: Cross multiply
    841,856.63x = 1,846,698.75 × 1,846,698.75
  4. Step 4: Simplify right side
    841,856.63x = 3,410,296,273,251.56
  5. Step 5: Solve for x
    x = 3,410,296,273,251.56/841,856.63
  6. Step 6: Final answer
    x = 4,050,922.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.