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Finding the Third Proportional to 853,299 and 1,828,044

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Solution

The third proportional to 853,299 and 1,828,044 is: 3,916,264.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,299 : 1,828,044 = 1,828,044 : x
  2. Step 2: Convert to fraction form
    853,299/1,828,044 = 1,828,044/x
  3. Step 3: Cross multiply
    853,299x = 1,828,044 × 1,828,044
  4. Step 4: Simplify right side
    853,299x = 3,341,744,865,936
  5. Step 5: Solve for x
    x = 3,341,744,865,936/853,299
  6. Step 6: Final answer
    x = 3,916,264.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.