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Finding the Third Proportional to 406,980 and 884,024

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Solution

The third proportional to 406,980 and 884,024 is: 1,920,237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,980 : 884,024 = 884,024 : x
  2. Step 2: Convert to fraction form
    406,980/884,024 = 884,024/x
  3. Step 3: Cross multiply
    406,980x = 884,024 × 884,024
  4. Step 4: Simplify right side
    406,980x = 781,498,432,576
  5. Step 5: Solve for x
    x = 781,498,432,576/406,980
  6. Step 6: Final answer
    x = 1,920,237.93

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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.