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Finding the Third Proportional to 878,724 and 1,917,826

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Solution

The third proportional to 878,724 and 1,917,826 is: 4,185,678.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,724 : 1,917,826 = 1,917,826 : x
  2. Step 2: Convert to fraction form
    878,724/1,917,826 = 1,917,826/x
  3. Step 3: Cross multiply
    878,724x = 1,917,826 × 1,917,826
  4. Step 4: Simplify right side
    878,724x = 3,678,056,566,276
  5. Step 5: Solve for x
    x = 3,678,056,566,276/878,724
  6. Step 6: Final answer
    x = 4,185,678.97

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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.