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Finding the Third Proportional to 406,913 and 883,878

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Solution

The third proportional to 406,913 and 883,878 is: 1,919,919.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,913 : 883,878 = 883,878 : x
  2. Step 2: Convert to fraction form
    406,913/883,878 = 883,878/x
  3. Step 3: Cross multiply
    406,913x = 883,878 × 883,878
  4. Step 4: Simplify right side
    406,913x = 781,240,318,884
  5. Step 5: Solve for x
    x = 781,240,318,884/406,913
  6. Step 6: Final answer
    x = 1,919,919.78

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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.