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Finding the Third Proportional to 856,036 and 1,822,664

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Solution

The third proportional to 856,036 and 1,822,664 is: 3,880,799.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,036 : 1,822,664 = 1,822,664 : x
  2. Step 2: Convert to fraction form
    856,036/1,822,664 = 1,822,664/x
  3. Step 3: Cross multiply
    856,036x = 1,822,664 × 1,822,664
  4. Step 4: Simplify right side
    856,036x = 3,322,104,056,896
  5. Step 5: Solve for x
    x = 3,322,104,056,896/856,036
  6. Step 6: Final answer
    x = 3,880,799.47

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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.