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Finding the Third Proportional to 589,096 and 906,607

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Solution

The third proportional to 589,096 and 906,607 is: 1,395,250.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,096 : 906,607 = 906,607 : x
  2. Step 2: Convert to fraction form
    589,096/906,607 = 906,607/x
  3. Step 3: Cross multiply
    589,096x = 906,607 × 906,607
  4. Step 4: Simplify right side
    589,096x = 821,936,252,449
  5. Step 5: Solve for x
    x = 821,936,252,449/589,096
  6. Step 6: Final answer
    x = 1,395,250.10

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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.