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Finding the Third Proportional to 1,468,016 and 2,145,376

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Solution

The third proportional to 1,468,016 and 2,145,376 is: 3,135,277.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468,016 : 2,145,376 = 2,145,376 : x
  2. Step 2: Convert to fraction form
    1,468,016/2,145,376 = 2,145,376/x
  3. Step 3: Cross multiply
    1,468,016x = 2,145,376 × 2,145,376
  4. Step 4: Simplify right side
    1,468,016x = 4,602,638,181,376
  5. Step 5: Solve for x
    x = 4,602,638,181,376/1,468,016
  6. Step 6: Final answer
    x = 3,135,277.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.