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Finding the Third Proportional to 961,569 and 1,494,846

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Solution

The third proportional to 961,569 and 1,494,846 is: 2,323,873.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,569 : 1,494,846 = 1,494,846 : x
  2. Step 2: Convert to fraction form
    961,569/1,494,846 = 1,494,846/x
  3. Step 3: Cross multiply
    961,569x = 1,494,846 × 1,494,846
  4. Step 4: Simplify right side
    961,569x = 2,234,564,563,716
  5. Step 5: Solve for x
    x = 2,234,564,563,716/961,569
  6. Step 6: Final answer
    x = 2,323,873.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.