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Finding the Third Proportional to 446,315 and 983,170

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Solution

The third proportional to 446,315 and 983,170 is: 2,165,787.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,315 : 983,170 = 983,170 : x
  2. Step 2: Convert to fraction form
    446,315/983,170 = 983,170/x
  3. Step 3: Cross multiply
    446,315x = 983,170 × 983,170
  4. Step 4: Simplify right side
    446,315x = 966,623,248,900
  5. Step 5: Solve for x
    x = 966,623,248,900/446,315
  6. Step 6: Final answer
    x = 2,165,787.05

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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.