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Finding the Third Proportional to 411,912 and 902,556

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Solution

The third proportional to 411,912 and 902,556 is: 1,977,624.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,912 : 902,556 = 902,556 : x
  2. Step 2: Convert to fraction form
    411,912/902,556 = 902,556/x
  3. Step 3: Cross multiply
    411,912x = 902,556 × 902,556
  4. Step 4: Simplify right side
    411,912x = 814,607,333,136
  5. Step 5: Solve for x
    x = 814,607,333,136/411,912
  6. Step 6: Final answer
    x = 1,977,624.67

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Why These Related Problems?

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