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Finding the Third Proportional to 413,064 and 875,668

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Solution

The third proportional to 413,064 and 875,668 is: 1,856,357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,064 : 875,668 = 875,668 : x
  2. Step 2: Convert to fraction form
    413,064/875,668 = 875,668/x
  3. Step 3: Cross multiply
    413,064x = 875,668 × 875,668
  4. Step 4: Simplify right side
    413,064x = 766,794,446,224
  5. Step 5: Solve for x
    x = 766,794,446,224/413,064
  6. Step 6: Final answer
    x = 1,856,357.48

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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.