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Finding the Third Proportional to 436,778 and 926,044

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Solution

The third proportional to 436,778 and 926,044 is: 1,963,371.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,778 : 926,044 = 926,044 : x
  2. Step 2: Convert to fraction form
    436,778/926,044 = 926,044/x
  3. Step 3: Cross multiply
    436,778x = 926,044 × 926,044
  4. Step 4: Simplify right side
    436,778x = 857,557,489,936
  5. Step 5: Solve for x
    x = 857,557,489,936/436,778
  6. Step 6: Final answer
    x = 1,963,371.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.