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Finding the Third Proportional to 896,652.13 and 1,921,223.31

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Solution

The third proportional to 896,652.13 and 1,921,223.31 is: 4,116,534.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,652.13 : 1,921,223.31 = 1,921,223.31 : x
  2. Step 2: Convert to fraction form
    896,652.13/1,921,223.31 = 1,921,223.31/x
  3. Step 3: Cross multiply
    896,652.13x = 1,921,223.31 × 1,921,223.31
  4. Step 4: Simplify right side
    896,652.13x = 3,691,099,016,493.47
  5. Step 5: Solve for x
    x = 3,691,099,016,493.47/896,652.13
  6. Step 6: Final answer
    x = 4,116,534.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.