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Finding the Third Proportional to 1,208,514.94 and 1,635,503.91

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Solution

The third proportional to 1,208,514.94 and 1,635,503.91 is: 2,213,355.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208,514.94 : 1,635,503.91 = 1,635,503.91 : x
  2. Step 2: Convert to fraction form
    1,208,514.94/1,635,503.91 = 1,635,503.91/x
  3. Step 3: Cross multiply
    1,208,514.94x = 1,635,503.91 × 1,635,503.91
  4. Step 4: Simplify right side
    1,208,514.94x = 2,674,873,027,359.01
  5. Step 5: Solve for x
    x = 2,674,873,027,359.01/1,208,514.94
  6. Step 6: Final answer
    x = 2,213,355.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.