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Finding the Third Proportional to 633,054 and 906,828

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Solution

The third proportional to 633,054 and 906,828 is: 1,298,999.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,054 : 906,828 = 906,828 : x
  2. Step 2: Convert to fraction form
    633,054/906,828 = 906,828/x
  3. Step 3: Cross multiply
    633,054x = 906,828 × 906,828
  4. Step 4: Simplify right side
    633,054x = 822,337,021,584
  5. Step 5: Solve for x
    x = 822,337,021,584/633,054
  6. Step 6: Final answer
    x = 1,298,999.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.