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Finding the Third Proportional to 1,314,648 and 1,980,627

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Solution

The third proportional to 1,314,648 and 1,980,627 is: 2,983,979.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,648 : 1,980,627 = 1,980,627 : x
  2. Step 2: Convert to fraction form
    1,314,648/1,980,627 = 1,980,627/x
  3. Step 3: Cross multiply
    1,314,648x = 1,980,627 × 1,980,627
  4. Step 4: Simplify right side
    1,314,648x = 3,922,883,313,129
  5. Step 5: Solve for x
    x = 3,922,883,313,129/1,314,648
  6. Step 6: Final answer
    x = 2,983,979.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.