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Finding the Third Proportional to 920,136 and 1,988,016

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Solution

The third proportional to 920,136 and 1,988,016 is: 4,295,242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,136 : 1,988,016 = 1,988,016 : x
  2. Step 2: Convert to fraction form
    920,136/1,988,016 = 1,988,016/x
  3. Step 3: Cross multiply
    920,136x = 1,988,016 × 1,988,016
  4. Step 4: Simplify right side
    920,136x = 3,952,207,616,256
  5. Step 5: Solve for x
    x = 3,952,207,616,256/920,136
  6. Step 6: Final answer
    x = 4,295,242.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.