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Finding the Third Proportional to 1,014,921.75 and 1,427,970

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Solution

The third proportional to 1,014,921.75 and 1,427,970 is: 2,009,118.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014,921.75 : 1,427,970 = 1,427,970 : x
  2. Step 2: Convert to fraction form
    1,014,921.75/1,427,970 = 1,427,970/x
  3. Step 3: Cross multiply
    1,014,921.75x = 1,427,970 × 1,427,970
  4. Step 4: Simplify right side
    1,014,921.75x = 2,039,098,320,900
  5. Step 5: Solve for x
    x = 2,039,098,320,900/1,014,921.75
  6. Step 6: Final answer
    x = 2,009,118.75

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.