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Finding the Third Proportional to 964,959 and 1,419,369

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Solution

The third proportional to 964,959 and 1,419,369 is: 2,087,765.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,959 : 1,419,369 = 1,419,369 : x
  2. Step 2: Convert to fraction form
    964,959/1,419,369 = 1,419,369/x
  3. Step 3: Cross multiply
    964,959x = 1,419,369 × 1,419,369
  4. Step 4: Simplify right side
    964,959x = 2,014,608,358,161
  5. Step 5: Solve for x
    x = 2,014,608,358,161/964,959
  6. Step 6: Final answer
    x = 2,087,765.76

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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.