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Finding the Third Proportional to 2,321,674 and 4,878,356

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Solution

The third proportional to 2,321,674 and 4,878,356 is: 10,250,516.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321,674 : 4,878,356 = 4,878,356 : x
  2. Step 2: Convert to fraction form
    2,321,674/4,878,356 = 4,878,356/x
  3. Step 3: Cross multiply
    2,321,674x = 4,878,356 × 4,878,356
  4. Step 4: Simplify right side
    2,321,674x = 23,798,357,262,736
  5. Step 5: Solve for x
    x = 23,798,357,262,736/2,321,674
  6. Step 6: Final answer
    x = 10,250,516.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.