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Finding the Third Proportional to 1,461,576 and 3,188,748

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Solution

The third proportional to 1,461,576 and 3,188,748 is: 6,956,951.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,576 : 3,188,748 = 3,188,748 : x
  2. Step 2: Convert to fraction form
    1,461,576/3,188,748 = 3,188,748/x
  3. Step 3: Cross multiply
    1,461,576x = 3,188,748 × 3,188,748
  4. Step 4: Simplify right side
    1,461,576x = 10,168,113,807,504
  5. Step 5: Solve for x
    x = 10,168,113,807,504/1,461,576
  6. Step 6: Final answer
    x = 6,956,951.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.