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Finding the Third Proportional to 1,204,580 and 1,605,909

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Solution

The third proportional to 1,204,580 and 1,605,909 is: 2,140,948.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,580 : 1,605,909 = 1,605,909 : x
  2. Step 2: Convert to fraction form
    1,204,580/1,605,909 = 1,605,909/x
  3. Step 3: Cross multiply
    1,204,580x = 1,605,909 × 1,605,909
  4. Step 4: Simplify right side
    1,204,580x = 2,578,943,716,281
  5. Step 5: Solve for x
    x = 2,578,943,716,281/1,204,580
  6. Step 6: Final answer
    x = 2,140,948.48

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.