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Finding the Third Proportional to 406,791 and 884,934

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Solution

The third proportional to 406,791 and 884,934 is: 1,925,087.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,791 : 884,934 = 884,934 : x
  2. Step 2: Convert to fraction form
    406,791/884,934 = 884,934/x
  3. Step 3: Cross multiply
    406,791x = 884,934 × 884,934
  4. Step 4: Simplify right side
    406,791x = 783,108,184,356
  5. Step 5: Solve for x
    x = 783,108,184,356/406,791
  6. Step 6: Final answer
    x = 1,925,087.29

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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.