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Finding the Third Proportional to 874,206 and 1,872,828

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Solution

The third proportional to 874,206 and 1,872,828 is: 4,012,194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,206 : 1,872,828 = 1,872,828 : x
  2. Step 2: Convert to fraction form
    874,206/1,872,828 = 1,872,828/x
  3. Step 3: Cross multiply
    874,206x = 1,872,828 × 1,872,828
  4. Step 4: Simplify right side
    874,206x = 3,507,484,717,584
  5. Step 5: Solve for x
    x = 3,507,484,717,584/874,206
  6. Step 6: Final answer
    x = 4,012,194.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.