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Finding the Third Proportional to 722,511 and 1,588,034

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Solution

The third proportional to 722,511 and 1,588,034 is: 3,490,399.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,511 : 1,588,034 = 1,588,034 : x
  2. Step 2: Convert to fraction form
    722,511/1,588,034 = 1,588,034/x
  3. Step 3: Cross multiply
    722,511x = 1,588,034 × 1,588,034
  4. Step 4: Simplify right side
    722,511x = 2,521,851,985,156
  5. Step 5: Solve for x
    x = 2,521,851,985,156/722,511
  6. Step 6: Final answer
    x = 3,490,399.43

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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.