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Finding the Third Proportional to 854,511 and 1,328,424

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Solution

The third proportional to 854,511 and 1,328,424 is: 2,065,169.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,511 : 1,328,424 = 1,328,424 : x
  2. Step 2: Convert to fraction form
    854,511/1,328,424 = 1,328,424/x
  3. Step 3: Cross multiply
    854,511x = 1,328,424 × 1,328,424
  4. Step 4: Simplify right side
    854,511x = 1,764,710,323,776
  5. Step 5: Solve for x
    x = 1,764,710,323,776/854,511
  6. Step 6: Final answer
    x = 2,065,169.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.