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Finding the Third Proportional to 449,609 and 940,784.50

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Solution

The third proportional to 449,609 and 940,784.50 is: 1,968,544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,609 : 940,784.50 = 940,784.50 : x
  2. Step 2: Convert to fraction form
    449,609/940,784.50 = 940,784.50/x
  3. Step 3: Cross multiply
    449,609x = 940,784.50 × 940,784.50
  4. Step 4: Simplify right side
    449,609x = 885,075,475,440.25
  5. Step 5: Solve for x
    x = 885,075,475,440.25/449,609
  6. Step 6: Final answer
    x = 1,968,544.84

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.