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Finding the Third Proportional to 964,931 and 1,419,330

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Solution

The third proportional to 964,931 and 1,419,330 is: 2,087,711.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,931 : 1,419,330 = 1,419,330 : x
  2. Step 2: Convert to fraction form
    964,931/1,419,330 = 1,419,330/x
  3. Step 3: Cross multiply
    964,931x = 1,419,330 × 1,419,330
  4. Step 4: Simplify right side
    964,931x = 2,014,497,648,900
  5. Step 5: Solve for x
    x = 2,014,497,648,900/964,931
  6. Step 6: Final answer
    x = 2,087,711.61

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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.