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Finding the Third Proportional to 804,574 and 1,215,062

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Solution

The third proportional to 804,574 and 1,215,062 is: 1,834,978.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,574 : 1,215,062 = 1,215,062 : x
  2. Step 2: Convert to fraction form
    804,574/1,215,062 = 1,215,062/x
  3. Step 3: Cross multiply
    804,574x = 1,215,062 × 1,215,062
  4. Step 4: Simplify right side
    804,574x = 1,476,375,663,844
  5. Step 5: Solve for x
    x = 1,476,375,663,844/804,574
  6. Step 6: Final answer
    x = 1,834,978.09

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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.