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Finding the Third Proportional to 517,999 and 1,124,586

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Solution

The third proportional to 517,999 and 1,124,586 is: 2,441,498.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,999 : 1,124,586 = 1,124,586 : x
  2. Step 2: Convert to fraction form
    517,999/1,124,586 = 1,124,586/x
  3. Step 3: Cross multiply
    517,999x = 1,124,586 × 1,124,586
  4. Step 4: Simplify right side
    517,999x = 1,264,693,671,396
  5. Step 5: Solve for x
    x = 1,264,693,671,396/517,999
  6. Step 6: Final answer
    x = 2,441,498.29

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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.