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Finding the Third Proportional to 1,220,382.84 and 2,624,428.78

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Solution

The third proportional to 1,220,382.84 and 2,624,428.78 is: 5,643,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220,382.84 : 2,624,428.78 = 2,624,428.78 : x
  2. Step 2: Convert to fraction form
    1,220,382.84/2,624,428.78 = 2,624,428.78/x
  3. Step 3: Cross multiply
    1,220,382.84x = 2,624,428.78 × 2,624,428.78
  4. Step 4: Simplify right side
    1,220,382.84x = 6,887,626,427,853.36
  5. Step 5: Solve for x
    x = 6,887,626,427,853.36/1,220,382.84
  6. Step 6: Final answer
    x = 5,643,824.36

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Why These Related Problems?

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