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Finding the Third Proportional to 964,945 and 1,419,349

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Solution

The third proportional to 964,945 and 1,419,349 is: 2,087,737.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,945 : 1,419,349 = 1,419,349 : x
  2. Step 2: Convert to fraction form
    964,945/1,419,349 = 1,419,349/x
  3. Step 3: Cross multiply
    964,945x = 1,419,349 × 1,419,349
  4. Step 4: Simplify right side
    964,945x = 2,014,551,583,801
  5. Step 5: Solve for x
    x = 2,014,551,583,801/964,945
  6. Step 6: Final answer
    x = 2,087,737.21

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Why These Related Problems?

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