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Finding the Third Proportional to 587,574 and 1,226,232

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Solution

The third proportional to 587,574 and 1,226,232 is: 2,559,073.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,574 : 1,226,232 = 1,226,232 : x
  2. Step 2: Convert to fraction form
    587,574/1,226,232 = 1,226,232/x
  3. Step 3: Cross multiply
    587,574x = 1,226,232 × 1,226,232
  4. Step 4: Simplify right side
    587,574x = 1,503,644,917,824
  5. Step 5: Solve for x
    x = 1,503,644,917,824/587,574
  6. Step 6: Final answer
    x = 2,559,073.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.