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Finding the Third Proportional to 856,056 and 1,822,704

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Solution

The third proportional to 856,056 and 1,822,704 is: 3,880,879.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,056 : 1,822,704 = 1,822,704 : x
  2. Step 2: Convert to fraction form
    856,056/1,822,704 = 1,822,704/x
  3. Step 3: Cross multiply
    856,056x = 1,822,704 × 1,822,704
  4. Step 4: Simplify right side
    856,056x = 3,322,249,871,616
  5. Step 5: Solve for x
    x = 3,322,249,871,616/856,056
  6. Step 6: Final answer
    x = 3,880,879.14

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.