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Finding the Third Proportional to 401,654 and 877,828

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Solution

The third proportional to 401,654 and 877,828 is: 1,918,521.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,654 : 877,828 = 877,828 : x
  2. Step 2: Convert to fraction form
    401,654/877,828 = 877,828/x
  3. Step 3: Cross multiply
    401,654x = 877,828 × 877,828
  4. Step 4: Simplify right side
    401,654x = 770,581,997,584
  5. Step 5: Solve for x
    x = 770,581,997,584/401,654
  6. Step 6: Final answer
    x = 1,918,521.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.