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Finding the Third Proportional to 469,342.69 and 1,009,443.94

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Solution

The third proportional to 469,342.69 and 1,009,443.94 is: 2,171,072.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,342.69 : 1,009,443.94 = 1,009,443.94 : x
  2. Step 2: Convert to fraction form
    469,342.69/1,009,443.94 = 1,009,443.94/x
  3. Step 3: Cross multiply
    469,342.69x = 1,009,443.94 × 1,009,443.94
  4. Step 4: Simplify right side
    469,342.69x = 1,018,977,062,955.50
  5. Step 5: Solve for x
    x = 1,018,977,062,955.50/469,342.69
  6. Step 6: Final answer
    x = 2,171,072.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.