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Finding the Third Proportional to 450,216 and 1,062,753

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Solution

The third proportional to 450,216 and 1,062,753 is: 2,508,671.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,216 : 1,062,753 = 1,062,753 : x
  2. Step 2: Convert to fraction form
    450,216/1,062,753 = 1,062,753/x
  3. Step 3: Cross multiply
    450,216x = 1,062,753 × 1,062,753
  4. Step 4: Simplify right side
    450,216x = 1,129,443,939,009
  5. Step 5: Solve for x
    x = 1,129,443,939,009/450,216
  6. Step 6: Final answer
    x = 2,508,671.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.