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Finding the Third Proportional to 569,952 and 889,434

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Solution

The third proportional to 569,952 and 889,434 is: 1,387,999.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,952 : 889,434 = 889,434 : x
  2. Step 2: Convert to fraction form
    569,952/889,434 = 889,434/x
  3. Step 3: Cross multiply
    569,952x = 889,434 × 889,434
  4. Step 4: Simplify right side
    569,952x = 791,092,840,356
  5. Step 5: Solve for x
    x = 791,092,840,356/569,952
  6. Step 6: Final answer
    x = 1,387,999.06

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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.