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Finding the Third Proportional to 471,615 and 1,018,272

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Solution

The third proportional to 471,615 and 1,018,272 is: 2,198,568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,615 : 1,018,272 = 1,018,272 : x
  2. Step 2: Convert to fraction form
    471,615/1,018,272 = 1,018,272/x
  3. Step 3: Cross multiply
    471,615x = 1,018,272 × 1,018,272
  4. Step 4: Simplify right side
    471,615x = 1,036,877,865,984
  5. Step 5: Solve for x
    x = 1,036,877,865,984/471,615
  6. Step 6: Final answer
    x = 2,198,568.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.