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Finding the Third Proportional to 388,595 and 916,016

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Solution

The third proportional to 388,595 and 916,016 is: 2,159,279.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,595 : 916,016 = 916,016 : x
  2. Step 2: Convert to fraction form
    388,595/916,016 = 916,016/x
  3. Step 3: Cross multiply
    388,595x = 916,016 × 916,016
  4. Step 4: Simplify right side
    388,595x = 839,085,312,256
  5. Step 5: Solve for x
    x = 839,085,312,256/388,595
  6. Step 6: Final answer
    x = 2,159,279.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.