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Finding the Third Proportional to 589,096.13 and 906,608.25

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Solution

The third proportional to 589,096.13 and 906,608.25 is: 1,395,253.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,096.13 : 906,608.25 = 906,608.25 : x
  2. Step 2: Convert to fraction form
    589,096.13/906,608.25 = 906,608.25/x
  3. Step 3: Cross multiply
    589,096.13x = 906,608.25 × 906,608.25
  4. Step 4: Simplify right side
    589,096.13x = 821,938,518,968.06
  5. Step 5: Solve for x
    x = 821,938,518,968.06/589,096.13
  6. Step 6: Final answer
    x = 1,395,253.65

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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.