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Finding the Third Proportional to 854,532 and 1,328,448

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Solution

The third proportional to 854,532 and 1,328,448 is: 2,065,193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,532 : 1,328,448 = 1,328,448 : x
  2. Step 2: Convert to fraction form
    854,532/1,328,448 = 1,328,448/x
  3. Step 3: Cross multiply
    854,532x = 1,328,448 × 1,328,448
  4. Step 4: Simplify right side
    854,532x = 1,764,774,088,704
  5. Step 5: Solve for x
    x = 1,764,774,088,704/854,532
  6. Step 6: Final answer
    x = 2,065,193.68

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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.