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Finding the Third Proportional to 2,846,250 and 6,197,650

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Solution

The third proportional to 2,846,250 and 6,197,650 is: 13,495,253.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846,250 : 6,197,650 = 6,197,650 : x
  2. Step 2: Convert to fraction form
    2,846,250/6,197,650 = 6,197,650/x
  3. Step 3: Cross multiply
    2,846,250x = 6,197,650 × 6,197,650
  4. Step 4: Simplify right side
    2,846,250x = 38,410,865,522,500
  5. Step 5: Solve for x
    x = 38,410,865,522,500/2,846,250
  6. Step 6: Final answer
    x = 13,495,253.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.