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Finding the Third Proportional to 467,567.44 and 1,009,740.94

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Solution

The third proportional to 467,567.44 and 1,009,740.94 is: 2,180,598.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,567.44 : 1,009,740.94 = 1,009,740.94 : x
  2. Step 2: Convert to fraction form
    467,567.44/1,009,740.94 = 1,009,740.94/x
  3. Step 3: Cross multiply
    467,567.44x = 1,009,740.94 × 1,009,740.94
  4. Step 4: Simplify right side
    467,567.44x = 1,019,576,760,863.38
  5. Step 5: Solve for x
    x = 1,019,576,760,863.38/467,567.44
  6. Step 6: Final answer
    x = 2,180,598.30

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