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Finding the Third Proportional to 406,974 and 884,002

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Solution

The third proportional to 406,974 and 884,002 is: 1,920,170.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,974 : 884,002 = 884,002 : x
  2. Step 2: Convert to fraction form
    406,974/884,002 = 884,002/x
  3. Step 3: Cross multiply
    406,974x = 884,002 × 884,002
  4. Step 4: Simplify right side
    406,974x = 781,459,536,004
  5. Step 5: Solve for x
    x = 781,459,536,004/406,974
  6. Step 6: Final answer
    x = 1,920,170.66

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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.