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Finding the Third Proportional to 484,584 and 1,131,900

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Solution

The third proportional to 484,584 and 1,131,900 is: 2,643,912.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,584 : 1,131,900 = 1,131,900 : x
  2. Step 2: Convert to fraction form
    484,584/1,131,900 = 1,131,900/x
  3. Step 3: Cross multiply
    484,584x = 1,131,900 × 1,131,900
  4. Step 4: Simplify right side
    484,584x = 1,281,197,610,000
  5. Step 5: Solve for x
    x = 1,281,197,610,000/484,584
  6. Step 6: Final answer
    x = 2,643,912.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.