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Finding the Third Proportional to 589,095 and 906,606

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Solution

The third proportional to 589,095 and 906,606 is: 1,395,249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,095 : 906,606 = 906,606 : x
  2. Step 2: Convert to fraction form
    589,095/906,606 = 906,606/x
  3. Step 3: Cross multiply
    589,095x = 906,606 × 906,606
  4. Step 4: Simplify right side
    589,095x = 821,934,439,236
  5. Step 5: Solve for x
    x = 821,934,439,236/589,095
  6. Step 6: Final answer
    x = 1,395,249.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.