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Finding the Third Proportional to 406,910 and 619,841

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Solution

The third proportional to 406,910 and 619,841 is: 944,196.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,910 : 619,841 = 619,841 : x
  2. Step 2: Convert to fraction form
    406,910/619,841 = 619,841/x
  3. Step 3: Cross multiply
    406,910x = 619,841 × 619,841
  4. Step 4: Simplify right side
    406,910x = 384,202,865,281
  5. Step 5: Solve for x
    x = 384,202,865,281/406,910
  6. Step 6: Final answer
    x = 944,196.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.