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Finding the Third Proportional to 862,206 and 1,878,828

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Solution

The third proportional to 862,206 and 1,878,828 is: 4,094,142.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,206 : 1,878,828 = 1,878,828 : x
  2. Step 2: Convert to fraction form
    862,206/1,878,828 = 1,878,828/x
  3. Step 3: Cross multiply
    862,206x = 1,878,828 × 1,878,828
  4. Step 4: Simplify right side
    862,206x = 3,529,994,653,584
  5. Step 5: Solve for x
    x = 3,529,994,653,584/862,206
  6. Step 6: Final answer
    x = 4,094,142.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.