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Finding the Third Proportional to 1,014,924 and 1,427,972

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Solution

The third proportional to 1,014,924 and 1,427,972 is: 2,009,119.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014,924 : 1,427,972 = 1,427,972 : x
  2. Step 2: Convert to fraction form
    1,014,924/1,427,972 = 1,427,972/x
  3. Step 3: Cross multiply
    1,014,924x = 1,427,972 × 1,427,972
  4. Step 4: Simplify right side
    1,014,924x = 2,039,104,032,784
  5. Step 5: Solve for x
    x = 2,039,104,032,784/1,014,924
  6. Step 6: Final answer
    x = 2,009,119.93

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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.