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Finding the Third Proportional to 584,586 and 1,262,430

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Solution

The third proportional to 584,586 and 1,262,430 is: 2,726,253.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,586 : 1,262,430 = 1,262,430 : x
  2. Step 2: Convert to fraction form
    584,586/1,262,430 = 1,262,430/x
  3. Step 3: Cross multiply
    584,586x = 1,262,430 × 1,262,430
  4. Step 4: Simplify right side
    584,586x = 1,593,729,504,900
  5. Step 5: Solve for x
    x = 1,593,729,504,900/584,586
  6. Step 6: Final answer
    x = 2,726,253.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.