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Finding the Third Proportional to 406,976 and 883,984

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Solution

The third proportional to 406,976 and 883,984 is: 1,920,083.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,976 : 883,984 = 883,984 : x
  2. Step 2: Convert to fraction form
    406,976/883,984 = 883,984/x
  3. Step 3: Cross multiply
    406,976x = 883,984 × 883,984
  4. Step 4: Simplify right side
    406,976x = 781,427,712,256
  5. Step 5: Solve for x
    x = 781,427,712,256/406,976
  6. Step 6: Final answer
    x = 1,920,083.03

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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.