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Finding the Third Proportional to 583,937 and 1,267,018

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Solution

The third proportional to 583,937 and 1,267,018 is: 2,749,157.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,937 : 1,267,018 = 1,267,018 : x
  2. Step 2: Convert to fraction form
    583,937/1,267,018 = 1,267,018/x
  3. Step 3: Cross multiply
    583,937x = 1,267,018 × 1,267,018
  4. Step 4: Simplify right side
    583,937x = 1,605,334,612,324
  5. Step 5: Solve for x
    x = 1,605,334,612,324/583,937
  6. Step 6: Final answer
    x = 2,749,157.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.