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Finding the Third Proportional to 964,940 and 1,419,343

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Solution

The third proportional to 964,940 and 1,419,343 is: 2,087,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,940 : 1,419,343 = 1,419,343 : x
  2. Step 2: Convert to fraction form
    964,940/1,419,343 = 1,419,343/x
  3. Step 3: Cross multiply
    964,940x = 1,419,343 × 1,419,343
  4. Step 4: Simplify right side
    964,940x = 2,014,534,551,649
  5. Step 5: Solve for x
    x = 2,014,534,551,649/964,940
  6. Step 6: Final answer
    x = 2,087,730.38

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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.