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Finding the Third Proportional to 608,519 and 945,946

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Solution

The third proportional to 608,519 and 945,946 is: 1,470,478.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,519 : 945,946 = 945,946 : x
  2. Step 2: Convert to fraction form
    608,519/945,946 = 945,946/x
  3. Step 3: Cross multiply
    608,519x = 945,946 × 945,946
  4. Step 4: Simplify right side
    608,519x = 894,813,834,916
  5. Step 5: Solve for x
    x = 894,813,834,916/608,519
  6. Step 6: Final answer
    x = 1,470,478.05

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Why These Related Problems?

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