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Finding the Third Proportional to 964,932 and 1,419,331

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Solution

The third proportional to 964,932 and 1,419,331 is: 2,087,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,932 : 1,419,331 = 1,419,331 : x
  2. Step 2: Convert to fraction form
    964,932/1,419,331 = 1,419,331/x
  3. Step 3: Cross multiply
    964,932x = 1,419,331 × 1,419,331
  4. Step 4: Simplify right side
    964,932x = 2,014,500,487,561
  5. Step 5: Solve for x
    x = 2,014,500,487,561/964,932
  6. Step 6: Final answer
    x = 2,087,712.39

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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.