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Finding the Third Proportional to 1,616,133 and 2,410,184.63

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Solution

The third proportional to 1,616,133 and 2,410,184.63 is: 3,594,376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616,133 : 2,410,184.63 = 2,410,184.63 : x
  2. Step 2: Convert to fraction form
    1,616,133/2,410,184.63 = 2,410,184.63/x
  3. Step 3: Cross multiply
    1,616,133x = 2,410,184.63 × 2,410,184.63
  4. Step 4: Simplify right side
    1,616,133x = 5,808,989,926,586.39
  5. Step 5: Solve for x
    x = 5,808,989,926,586.39/1,616,133
  6. Step 6: Final answer
    x = 3,594,376.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.