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Finding the Third Proportional to 804,580 and 1,215,071

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Solution

The third proportional to 804,580 and 1,215,071 is: 1,834,991.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,580 : 1,215,071 = 1,215,071 : x
  2. Step 2: Convert to fraction form
    804,580/1,215,071 = 1,215,071/x
  3. Step 3: Cross multiply
    804,580x = 1,215,071 × 1,215,071
  4. Step 4: Simplify right side
    804,580x = 1,476,397,535,041
  5. Step 5: Solve for x
    x = 1,476,397,535,041/804,580
  6. Step 6: Final answer
    x = 1,834,991.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.