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Finding the Third Proportional to 589,020 and 888,440

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Solution

The third proportional to 589,020 and 888,440 is: 1,340,065.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,020 : 888,440 = 888,440 : x
  2. Step 2: Convert to fraction form
    589,020/888,440 = 888,440/x
  3. Step 3: Cross multiply
    589,020x = 888,440 × 888,440
  4. Step 4: Simplify right side
    589,020x = 789,325,633,600
  5. Step 5: Solve for x
    x = 789,325,633,600/589,020
  6. Step 6: Final answer
    x = 1,340,065.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.