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Finding the Third Proportional to 406,794 and 884,940

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Solution

The third proportional to 406,794 and 884,940 is: 1,925,099.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,794 : 884,940 = 884,940 : x
  2. Step 2: Convert to fraction form
    406,794/884,940 = 884,940/x
  3. Step 3: Cross multiply
    406,794x = 884,940 × 884,940
  4. Step 4: Simplify right side
    406,794x = 783,118,803,600
  5. Step 5: Solve for x
    x = 783,118,803,600/406,794
  6. Step 6: Final answer
    x = 1,925,099.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.