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Finding the Third Proportional to 406,806 and 884,964

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Solution

The third proportional to 406,806 and 884,964 is: 1,925,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,806 : 884,964 = 884,964 : x
  2. Step 2: Convert to fraction form
    406,806/884,964 = 884,964/x
  3. Step 3: Cross multiply
    406,806x = 884,964 × 884,964
  4. Step 4: Simplify right side
    406,806x = 783,161,281,296
  5. Step 5: Solve for x
    x = 783,161,281,296/406,806
  6. Step 6: Final answer
    x = 1,925,146.83

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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.