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Finding the Third Proportional to 2,153,680 and 3,378,960

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Solution

The third proportional to 2,153,680 and 3,378,960 is: 5,301,331.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153,680 : 3,378,960 = 3,378,960 : x
  2. Step 2: Convert to fraction form
    2,153,680/3,378,960 = 3,378,960/x
  3. Step 3: Cross multiply
    2,153,680x = 3,378,960 × 3,378,960
  4. Step 4: Simplify right side
    2,153,680x = 11,417,370,681,600
  5. Step 5: Solve for x
    x = 11,417,370,681,600/2,153,680
  6. Step 6: Final answer
    x = 5,301,331.06

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.