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Finding the Third Proportional to 856,048 and 1,822,688

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Solution

The third proportional to 856,048 and 1,822,688 is: 3,880,847.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,048 : 1,822,688 = 1,822,688 : x
  2. Step 2: Convert to fraction form
    856,048/1,822,688 = 1,822,688/x
  3. Step 3: Cross multiply
    856,048x = 1,822,688 × 1,822,688
  4. Step 4: Simplify right side
    856,048x = 3,322,191,545,344
  5. Step 5: Solve for x
    x = 3,322,191,545,344/856,048
  6. Step 6: Final answer
    x = 3,880,847.27

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Why These Related Problems?

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