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Finding the Third Proportional to 498,576 and 1,081,280

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Solution

The third proportional to 498,576 and 1,081,280 is: 2,345,011.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,576 : 1,081,280 = 1,081,280 : x
  2. Step 2: Convert to fraction form
    498,576/1,081,280 = 1,081,280/x
  3. Step 3: Cross multiply
    498,576x = 1,081,280 × 1,081,280
  4. Step 4: Simplify right side
    498,576x = 1,169,166,438,400
  5. Step 5: Solve for x
    x = 1,169,166,438,400/498,576
  6. Step 6: Final answer
    x = 2,345,011.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.