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Finding the Third Proportional to 406,930 and 883,916

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Solution

The third proportional to 406,930 and 883,916 is: 1,920,004.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,930 : 883,916 = 883,916 : x
  2. Step 2: Convert to fraction form
    406,930/883,916 = 883,916/x
  3. Step 3: Cross multiply
    406,930x = 883,916 × 883,916
  4. Step 4: Simplify right side
    406,930x = 781,307,495,056
  5. Step 5: Solve for x
    x = 781,307,495,056/406,930
  6. Step 6: Final answer
    x = 1,920,004.66

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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.