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Finding the Third Proportional to 856,156 and 1,844,768

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Solution

The third proportional to 856,156 and 1,844,768 is: 3,974,940.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,156 : 1,844,768 = 1,844,768 : x
  2. Step 2: Convert to fraction form
    856,156/1,844,768 = 1,844,768/x
  3. Step 3: Cross multiply
    856,156x = 1,844,768 × 1,844,768
  4. Step 4: Simplify right side
    856,156x = 3,403,168,973,824
  5. Step 5: Solve for x
    x = 3,403,168,973,824/856,156
  6. Step 6: Final answer
    x = 3,974,940.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.