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Finding the Third Proportional to 704,897.44 and 889,425.56

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Solution

The third proportional to 704,897.44 and 889,425.56 is: 1,122,259.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,897.44 : 889,425.56 = 889,425.56 : x
  2. Step 2: Convert to fraction form
    704,897.44/889,425.56 = 889,425.56/x
  3. Step 3: Cross multiply
    704,897.44x = 889,425.56 × 889,425.56
  4. Step 4: Simplify right side
    704,897.44x = 791,077,831,228.44
  5. Step 5: Solve for x
    x = 791,077,831,228.44/704,897.44
  6. Step 6: Final answer
    x = 1,122,259.48

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.