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Finding the Third Proportional to 771,728 and 1,194,816

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Solution

The third proportional to 771,728 and 1,194,816 is: 1,849,855.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,728 : 1,194,816 = 1,194,816 : x
  2. Step 2: Convert to fraction form
    771,728/1,194,816 = 1,194,816/x
  3. Step 3: Cross multiply
    771,728x = 1,194,816 × 1,194,816
  4. Step 4: Simplify right side
    771,728x = 1,427,585,273,856
  5. Step 5: Solve for x
    x = 1,427,585,273,856/771,728
  6. Step 6: Final answer
    x = 1,849,855.49

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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.