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Finding the Third Proportional to 1,494,023.09 and 3,266,743.45

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Solution

The third proportional to 1,494,023.09 and 3,266,743.45 is: 7,142,870.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494,023.09 : 3,266,743.45 = 3,266,743.45 : x
  2. Step 2: Convert to fraction form
    1,494,023.09/3,266,743.45 = 3,266,743.45/x
  3. Step 3: Cross multiply
    1,494,023.09x = 3,266,743.45 × 3,266,743.45
  4. Step 4: Simplify right side
    1,494,023.09x = 10,671,612,750,252.73
  5. Step 5: Solve for x
    x = 10,671,612,750,252.73/1,494,023.09
  6. Step 6: Final answer
    x = 7,142,870.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.