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Finding the Third Proportional to 722,511 and 1,588,041

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Solution

The third proportional to 722,511 and 1,588,041 is: 3,490,430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,511 : 1,588,041 = 1,588,041 : x
  2. Step 2: Convert to fraction form
    722,511/1,588,041 = 1,588,041/x
  3. Step 3: Cross multiply
    722,511x = 1,588,041 × 1,588,041
  4. Step 4: Simplify right side
    722,511x = 2,521,874,217,681
  5. Step 5: Solve for x
    x = 2,521,874,217,681/722,511
  6. Step 6: Final answer
    x = 3,490,430.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.