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Finding the Third Proportional to 407,896 and 874,840

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Solution

The third proportional to 407,896 and 874,840 is: 1,876,323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,896 : 874,840 = 874,840 : x
  2. Step 2: Convert to fraction form
    407,896/874,840 = 874,840/x
  3. Step 3: Cross multiply
    407,896x = 874,840 × 874,840
  4. Step 4: Simplify right side
    407,896x = 765,345,025,600
  5. Step 5: Solve for x
    x = 765,345,025,600/407,896
  6. Step 6: Final answer
    x = 1,876,323.93

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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.