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Finding the Third Proportional to 584,824 and 881,556

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Solution

The third proportional to 584,824 and 881,556 is: 1,328,845.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,824 : 881,556 = 881,556 : x
  2. Step 2: Convert to fraction form
    584,824/881,556 = 881,556/x
  3. Step 3: Cross multiply
    584,824x = 881,556 × 881,556
  4. Step 4: Simplify right side
    584,824x = 777,140,981,136
  5. Step 5: Solve for x
    x = 777,140,981,136/584,824
  6. Step 6: Final answer
    x = 1,328,845.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.