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Finding the Third Proportional to 816,120 and 1,767,816

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Solution

The third proportional to 816,120 and 1,767,816 is: 3,829,306.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,120 : 1,767,816 = 1,767,816 : x
  2. Step 2: Convert to fraction form
    816,120/1,767,816 = 1,767,816/x
  3. Step 3: Cross multiply
    816,120x = 1,767,816 × 1,767,816
  4. Step 4: Simplify right side
    816,120x = 3,125,173,409,856
  5. Step 5: Solve for x
    x = 3,125,173,409,856/816,120
  6. Step 6: Final answer
    x = 3,829,306.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.