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Finding the Third Proportional to 452,672 and 983,220

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Solution

The third proportional to 452,672 and 983,220 is: 2,135,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,672 : 983,220 = 983,220 : x
  2. Step 2: Convert to fraction form
    452,672/983,220 = 983,220/x
  3. Step 3: Cross multiply
    452,672x = 983,220 × 983,220
  4. Step 4: Simplify right side
    452,672x = 966,721,568,400
  5. Step 5: Solve for x
    x = 966,721,568,400/452,672
  6. Step 6: Final answer
    x = 2,135,589.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.