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Finding the Third Proportional to 511,051.50 and 1,106,743.50

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Solution

The third proportional to 511,051.50 and 1,106,743.50 is: 2,396,786.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,051.50 : 1,106,743.50 = 1,106,743.50 : x
  2. Step 2: Convert to fraction form
    511,051.50/1,106,743.50 = 1,106,743.50/x
  3. Step 3: Cross multiply
    511,051.50x = 1,106,743.50 × 1,106,743.50
  4. Step 4: Simplify right side
    511,051.50x = 1,224,881,174,792.25
  5. Step 5: Solve for x
    x = 1,224,881,174,792.25/511,051.50
  6. Step 6: Final answer
    x = 2,396,786.18

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