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Finding the Third Proportional to 964,967 and 1,419,381

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Solution

The third proportional to 964,967 and 1,419,381 is: 2,087,783.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,967 : 1,419,381 = 1,419,381 : x
  2. Step 2: Convert to fraction form
    964,967/1,419,381 = 1,419,381/x
  3. Step 3: Cross multiply
    964,967x = 1,419,381 × 1,419,381
  4. Step 4: Simplify right side
    964,967x = 2,014,642,423,161
  5. Step 5: Solve for x
    x = 2,014,642,423,161/964,967
  6. Step 6: Final answer
    x = 2,087,783.75

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.