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Finding the Third Proportional to 413,636 and 857,992

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Solution

The third proportional to 413,636 and 857,992 is: 1,779,705.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,636 : 857,992 = 857,992 : x
  2. Step 2: Convert to fraction form
    413,636/857,992 = 857,992/x
  3. Step 3: Cross multiply
    413,636x = 857,992 × 857,992
  4. Step 4: Simplify right side
    413,636x = 736,150,272,064
  5. Step 5: Solve for x
    x = 736,150,272,064/413,636
  6. Step 6: Final answer
    x = 1,779,705.52

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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.