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Finding the Third Proportional to 584,608 and 1,283,006

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Solution

The third proportional to 584,608 and 1,283,006 is: 2,815,740.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,608 : 1,283,006 = 1,283,006 : x
  2. Step 2: Convert to fraction form
    584,608/1,283,006 = 1,283,006/x
  3. Step 3: Cross multiply
    584,608x = 1,283,006 × 1,283,006
  4. Step 4: Simplify right side
    584,608x = 1,646,104,396,036
  5. Step 5: Solve for x
    x = 1,646,104,396,036/584,608
  6. Step 6: Final answer
    x = 2,815,740.46

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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.