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Finding the Third Proportional to 584,426 and 1,268,502

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Solution

The third proportional to 584,426 and 1,268,502 is: 2,753,295.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,426 : 1,268,502 = 1,268,502 : x
  2. Step 2: Convert to fraction form
    584,426/1,268,502 = 1,268,502/x
  3. Step 3: Cross multiply
    584,426x = 1,268,502 × 1,268,502
  4. Step 4: Simplify right side
    584,426x = 1,609,097,324,004
  5. Step 5: Solve for x
    x = 1,609,097,324,004/584,426
  6. Step 6: Final answer
    x = 2,753,295.24

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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.