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Finding the Third Proportional to 964,929 and 1,419,327

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Solution

The third proportional to 964,929 and 1,419,327 is: 2,087,707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,929 : 1,419,327 = 1,419,327 : x
  2. Step 2: Convert to fraction form
    964,929/1,419,327 = 1,419,327/x
  3. Step 3: Cross multiply
    964,929x = 1,419,327 × 1,419,327
  4. Step 4: Simplify right side
    964,929x = 2,014,489,132,929
  5. Step 5: Solve for x
    x = 2,014,489,132,929/964,929
  6. Step 6: Final answer
    x = 2,087,707.11

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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.