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Finding the Third Proportional to 623,852 and 889,122

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Solution

The third proportional to 623,852 and 889,122 is: 1,267,188.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,852 : 889,122 = 889,122 : x
  2. Step 2: Convert to fraction form
    623,852/889,122 = 889,122/x
  3. Step 3: Cross multiply
    623,852x = 889,122 × 889,122
  4. Step 4: Simplify right side
    623,852x = 790,537,930,884
  5. Step 5: Solve for x
    x = 790,537,930,884/623,852
  6. Step 6: Final answer
    x = 1,267,188.26

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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.