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Finding the Third Proportional to 490,564 and 1,018,033.50

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Solution

The third proportional to 490,564 and 1,018,033.50 is: 2,112,654.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,564 : 1,018,033.50 = 1,018,033.50 : x
  2. Step 2: Convert to fraction form
    490,564/1,018,033.50 = 1,018,033.50/x
  3. Step 3: Cross multiply
    490,564x = 1,018,033.50 × 1,018,033.50
  4. Step 4: Simplify right side
    490,564x = 1,036,392,207,122.25
  5. Step 5: Solve for x
    x = 1,036,392,207,122.25/490,564
  6. Step 6: Final answer
    x = 2,112,654.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.