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Finding the Third Proportional to 853,551 and 1,839,430

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Solution

The third proportional to 853,551 and 1,839,430 is: 3,964,031.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,551 : 1,839,430 = 1,839,430 : x
  2. Step 2: Convert to fraction form
    853,551/1,839,430 = 1,839,430/x
  3. Step 3: Cross multiply
    853,551x = 1,839,430 × 1,839,430
  4. Step 4: Simplify right side
    853,551x = 3,383,502,724,900
  5. Step 5: Solve for x
    x = 3,383,502,724,900/853,551
  6. Step 6: Final answer
    x = 3,964,031.12

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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.