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Finding the Third Proportional to 919,974 and 2,014,908

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Solution

The third proportional to 919,974 and 2,014,908 is: 4,413,009.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,974 : 2,014,908 = 2,014,908 : x
  2. Step 2: Convert to fraction form
    919,974/2,014,908 = 2,014,908/x
  3. Step 3: Cross multiply
    919,974x = 2,014,908 × 2,014,908
  4. Step 4: Simplify right side
    919,974x = 4,059,854,248,464
  5. Step 5: Solve for x
    x = 4,059,854,248,464/919,974
  6. Step 6: Final answer
    x = 4,413,009.77

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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.