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Finding the Third Proportional to 804,569 and 1,215,055

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Solution

The third proportional to 804,569 and 1,215,055 is: 1,834,968.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,569 : 1,215,055 = 1,215,055 : x
  2. Step 2: Convert to fraction form
    804,569/1,215,055 = 1,215,055/x
  3. Step 3: Cross multiply
    804,569x = 1,215,055 × 1,215,055
  4. Step 4: Simplify right side
    804,569x = 1,476,358,653,025
  5. Step 5: Solve for x
    x = 1,476,358,653,025/804,569
  6. Step 6: Final answer
    x = 1,834,968.35

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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.