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Finding the Third Proportional to 569,980 and 889,476

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Solution

The third proportional to 569,980 and 889,476 is: 1,388,061.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,980 : 889,476 = 889,476 : x
  2. Step 2: Convert to fraction form
    569,980/889,476 = 889,476/x
  3. Step 3: Cross multiply
    569,980x = 889,476 × 889,476
  4. Step 4: Simplify right side
    569,980x = 791,167,554,576
  5. Step 5: Solve for x
    x = 791,167,554,576/569,980
  6. Step 6: Final answer
    x = 1,388,061.96

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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.