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Finding the Third Proportional to 965,102 and 1,419,552

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Solution

The third proportional to 965,102 and 1,419,552 is: 2,087,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,102 : 1,419,552 = 1,419,552 : x
  2. Step 2: Convert to fraction form
    965,102/1,419,552 = 1,419,552/x
  3. Step 3: Cross multiply
    965,102x = 1,419,552 × 1,419,552
  4. Step 4: Simplify right side
    965,102x = 2,015,127,880,704
  5. Step 5: Solve for x
    x = 2,015,127,880,704/965,102
  6. Step 6: Final answer
    x = 2,087,994.72

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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.