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Finding the Third Proportional to 465,723 and 1,018,620

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Solution

The third proportional to 465,723 and 1,018,620 is: 2,227,905.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,723 : 1,018,620 = 1,018,620 : x
  2. Step 2: Convert to fraction form
    465,723/1,018,620 = 1,018,620/x
  3. Step 3: Cross multiply
    465,723x = 1,018,620 × 1,018,620
  4. Step 4: Simplify right side
    465,723x = 1,037,586,704,400
  5. Step 5: Solve for x
    x = 1,037,586,704,400/465,723
  6. Step 6: Final answer
    x = 2,227,905.22

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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.