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Finding the Third Proportional to 569,972 and 889,464

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Solution

The third proportional to 569,972 and 889,464 is: 1,388,043.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,972 : 889,464 = 889,464 : x
  2. Step 2: Convert to fraction form
    569,972/889,464 = 889,464/x
  3. Step 3: Cross multiply
    569,972x = 889,464 × 889,464
  4. Step 4: Simplify right side
    569,972x = 791,146,207,296
  5. Step 5: Solve for x
    x = 791,146,207,296/569,972
  6. Step 6: Final answer
    x = 1,388,043.99

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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.