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Finding the Third Proportional to 597,516 and 896,922

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Solution

The third proportional to 597,516 and 896,922 is: 1,346,355.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,516 : 896,922 = 896,922 : x
  2. Step 2: Convert to fraction form
    597,516/896,922 = 896,922/x
  3. Step 3: Cross multiply
    597,516x = 896,922 × 896,922
  4. Step 4: Simplify right side
    597,516x = 804,469,074,084
  5. Step 5: Solve for x
    x = 804,469,074,084/597,516
  6. Step 6: Final answer
    x = 1,346,355.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.