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Finding the Third Proportional to 584,012 and 1,294,843

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Solution

The third proportional to 584,012 and 1,294,843 is: 2,870,862.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,012 : 1,294,843 = 1,294,843 : x
  2. Step 2: Convert to fraction form
    584,012/1,294,843 = 1,294,843/x
  3. Step 3: Cross multiply
    584,012x = 1,294,843 × 1,294,843
  4. Step 4: Simplify right side
    584,012x = 1,676,618,394,649
  5. Step 5: Solve for x
    x = 1,676,618,394,649/584,012
  6. Step 6: Final answer
    x = 2,870,862.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.