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Finding the Third Proportional to 407,947 and 883,678

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Solution

The third proportional to 407,947 and 883,678 is: 1,914,186.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,947 : 883,678 = 883,678 : x
  2. Step 2: Convert to fraction form
    407,947/883,678 = 883,678/x
  3. Step 3: Cross multiply
    407,947x = 883,678 × 883,678
  4. Step 4: Simplify right side
    407,947x = 780,886,807,684
  5. Step 5: Solve for x
    x = 780,886,807,684/407,947
  6. Step 6: Final answer
    x = 1,914,186.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.