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Finding the Third Proportional to 809,514 and 1,207,710

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Solution

The third proportional to 809,514 and 1,207,710 is: 1,801,776.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,514 : 1,207,710 = 1,207,710 : x
  2. Step 2: Convert to fraction form
    809,514/1,207,710 = 1,207,710/x
  3. Step 3: Cross multiply
    809,514x = 1,207,710 × 1,207,710
  4. Step 4: Simplify right side
    809,514x = 1,458,563,444,100
  5. Step 5: Solve for x
    x = 1,458,563,444,100/809,514
  6. Step 6: Final answer
    x = 1,801,776.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.