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Finding the Third Proportional to 399,440 and 854,816

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Solution

The third proportional to 399,440 and 854,816 is: 1,829,337.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,440 : 854,816 = 854,816 : x
  2. Step 2: Convert to fraction form
    399,440/854,816 = 854,816/x
  3. Step 3: Cross multiply
    399,440x = 854,816 × 854,816
  4. Step 4: Simplify right side
    399,440x = 730,710,393,856
  5. Step 5: Solve for x
    x = 730,710,393,856/399,440
  6. Step 6: Final answer
    x = 1,829,337.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.