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Finding the Third Proportional to 569,973 and 889,467

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Solution

The third proportional to 569,973 and 889,467 is: 1,388,050.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,973 : 889,467 = 889,467 : x
  2. Step 2: Convert to fraction form
    569,973/889,467 = 889,467/x
  3. Step 3: Cross multiply
    569,973x = 889,467 × 889,467
  4. Step 4: Simplify right side
    569,973x = 791,151,544,089
  5. Step 5: Solve for x
    x = 791,151,544,089/569,973
  6. Step 6: Final answer
    x = 1,388,050.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.