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Finding the Third Proportional to 449,595 and 971,160.75

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Solution

The third proportional to 449,595 and 971,160.75 is: 2,097,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,595 : 971,160.75 = 971,160.75 : x
  2. Step 2: Convert to fraction form
    449,595/971,160.75 = 971,160.75/x
  3. Step 3: Cross multiply
    449,595x = 971,160.75 × 971,160.75
  4. Step 4: Simplify right side
    449,595x = 943,153,202,340.56
  5. Step 5: Solve for x
    x = 943,153,202,340.56/449,595
  6. Step 6: Final answer
    x = 2,097,784.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.