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Finding the Third Proportional to 406,999 and 884,060

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Solution

The third proportional to 406,999 and 884,060 is: 1,920,304.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,999 : 884,060 = 884,060 : x
  2. Step 2: Convert to fraction form
    406,999/884,060 = 884,060/x
  3. Step 3: Cross multiply
    406,999x = 884,060 × 884,060
  4. Step 4: Simplify right side
    406,999x = 781,562,083,600
  5. Step 5: Solve for x
    x = 781,562,083,600/406,999
  6. Step 6: Final answer
    x = 1,920,304.68

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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.