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Finding the Third Proportional to 843,468 and 1,821,648

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Solution

The third proportional to 843,468 and 1,821,648 is: 3,934,235.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,468 : 1,821,648 = 1,821,648 : x
  2. Step 2: Convert to fraction form
    843,468/1,821,648 = 1,821,648/x
  3. Step 3: Cross multiply
    843,468x = 1,821,648 × 1,821,648
  4. Step 4: Simplify right side
    843,468x = 3,318,401,435,904
  5. Step 5: Solve for x
    x = 3,318,401,435,904/843,468
  6. Step 6: Final answer
    x = 3,934,235.13

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.