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Finding the Third Proportional to 874,206 and 1,907,280

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Solution

The third proportional to 874,206 and 1,907,280 is: 4,161,166.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,206 : 1,907,280 = 1,907,280 : x
  2. Step 2: Convert to fraction form
    874,206/1,907,280 = 1,907,280/x
  3. Step 3: Cross multiply
    874,206x = 1,907,280 × 1,907,280
  4. Step 4: Simplify right side
    874,206x = 3,637,716,998,400
  5. Step 5: Solve for x
    x = 3,637,716,998,400/874,206
  6. Step 6: Final answer
    x = 4,161,166.82

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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.