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Finding the Third Proportional to 554,836 and 838,086

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Solution

The third proportional to 554,836 and 838,086 is: 1,265,938.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,836 : 838,086 = 838,086 : x
  2. Step 2: Convert to fraction form
    554,836/838,086 = 838,086/x
  3. Step 3: Cross multiply
    554,836x = 838,086 × 838,086
  4. Step 4: Simplify right side
    554,836x = 702,388,143,396
  5. Step 5: Solve for x
    x = 702,388,143,396/554,836
  6. Step 6: Final answer
    x = 1,265,938.30

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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.