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Finding the Third Proportional to 1,043,285 and 2,285,830

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Solution

The third proportional to 1,043,285 and 2,285,830 is: 5,008,237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043,285 : 2,285,830 = 2,285,830 : x
  2. Step 2: Convert to fraction form
    1,043,285/2,285,830 = 2,285,830/x
  3. Step 3: Cross multiply
    1,043,285x = 2,285,830 × 2,285,830
  4. Step 4: Simplify right side
    1,043,285x = 5,225,018,788,900
  5. Step 5: Solve for x
    x = 5,225,018,788,900/1,043,285
  6. Step 6: Final answer
    x = 5,008,237.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.