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Finding the Third Proportional to 856,442 and 1,844,428

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Solution

The third proportional to 856,442 and 1,844,428 is: 3,972,148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,442 : 1,844,428 = 1,844,428 : x
  2. Step 2: Convert to fraction form
    856,442/1,844,428 = 1,844,428/x
  3. Step 3: Cross multiply
    856,442x = 1,844,428 × 1,844,428
  4. Step 4: Simplify right side
    856,442x = 3,401,914,647,184
  5. Step 5: Solve for x
    x = 3,401,914,647,184/856,442
  6. Step 6: Final answer
    x = 3,972,148.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.