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Finding the Third Proportional to 413,944 and 857,536

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Solution

The third proportional to 413,944 and 857,536 is: 1,776,491.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,944 : 857,536 = 857,536 : x
  2. Step 2: Convert to fraction form
    413,944/857,536 = 857,536/x
  3. Step 3: Cross multiply
    413,944x = 857,536 × 857,536
  4. Step 4: Simplify right side
    413,944x = 735,367,991,296
  5. Step 5: Solve for x
    x = 735,367,991,296/413,944
  6. Step 6: Final answer
    x = 1,776,491.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.