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Finding the Third Proportional to 584,514 and 1,214,946

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Solution

The third proportional to 584,514 and 1,214,946 is: 2,525,335.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,514 : 1,214,946 = 1,214,946 : x
  2. Step 2: Convert to fraction form
    584,514/1,214,946 = 1,214,946/x
  3. Step 3: Cross multiply
    584,514x = 1,214,946 × 1,214,946
  4. Step 4: Simplify right side
    584,514x = 1,476,093,782,916
  5. Step 5: Solve for x
    x = 1,476,093,782,916/584,514
  6. Step 6: Final answer
    x = 2,525,335.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.