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Finding the Third Proportional to 436,773 and 926,031

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Solution

The third proportional to 436,773 and 926,031 is: 1,963,338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,773 : 926,031 = 926,031 : x
  2. Step 2: Convert to fraction form
    436,773/926,031 = 926,031/x
  3. Step 3: Cross multiply
    436,773x = 926,031 × 926,031
  4. Step 4: Simplify right side
    436,773x = 857,533,412,961
  5. Step 5: Solve for x
    x = 857,533,412,961/436,773
  6. Step 6: Final answer
    x = 1,963,338.88

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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.