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Finding the Third Proportional to 804,586 and 1,215,083

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Solution

The third proportional to 804,586 and 1,215,083 is: 1,835,014.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,586 : 1,215,083 = 1,215,083 : x
  2. Step 2: Convert to fraction form
    804,586/1,215,083 = 1,215,083/x
  3. Step 3: Cross multiply
    804,586x = 1,215,083 × 1,215,083
  4. Step 4: Simplify right side
    804,586x = 1,476,426,696,889
  5. Step 5: Solve for x
    x = 1,476,426,696,889/804,586
  6. Step 6: Final answer
    x = 1,835,014.15

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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.