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Finding the Third Proportional to 856,044 and 1,822,680

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Solution

The third proportional to 856,044 and 1,822,680 is: 3,880,831.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,044 : 1,822,680 = 1,822,680 : x
  2. Step 2: Convert to fraction form
    856,044/1,822,680 = 1,822,680/x
  3. Step 3: Cross multiply
    856,044x = 1,822,680 × 1,822,680
  4. Step 4: Simplify right side
    856,044x = 3,322,162,382,400
  5. Step 5: Solve for x
    x = 3,322,162,382,400/856,044
  6. Step 6: Final answer
    x = 3,880,831.34

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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.