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Finding the Third Proportional to 449,200.69 and 970,390.13

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Solution

The third proportional to 449,200.69 and 970,390.13 is: 2,096,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,200.69 : 970,390.13 = 970,390.13 : x
  2. Step 2: Convert to fraction form
    449,200.69/970,390.13 = 970,390.13/x
  3. Step 3: Cross multiply
    449,200.69x = 970,390.13 × 970,390.13
  4. Step 4: Simplify right side
    449,200.69x = 941,656,994,697.52
  5. Step 5: Solve for x
    x = 941,656,994,697.52/449,200.69
  6. Step 6: Final answer
    x = 2,096,294.64

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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.