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Finding the Third Proportional to 898,446 and 1,965,696

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Solution

The third proportional to 898,446 and 1,965,696 is: 4,300,715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,446 : 1,965,696 = 1,965,696 : x
  2. Step 2: Convert to fraction form
    898,446/1,965,696 = 1,965,696/x
  3. Step 3: Cross multiply
    898,446x = 1,965,696 × 1,965,696
  4. Step 4: Simplify right side
    898,446x = 3,863,960,764,416
  5. Step 5: Solve for x
    x = 3,863,960,764,416/898,446
  6. Step 6: Final answer
    x = 4,300,715.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.