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Finding the Third Proportional to 1,366,928 and 3,164,468

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Solution

The third proportional to 1,366,928 and 3,164,468 is: 7,325,812.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366,928 : 3,164,468 = 3,164,468 : x
  2. Step 2: Convert to fraction form
    1,366,928/3,164,468 = 3,164,468/x
  3. Step 3: Cross multiply
    1,366,928x = 3,164,468 × 3,164,468
  4. Step 4: Simplify right side
    1,366,928x = 10,013,857,723,024
  5. Step 5: Solve for x
    x = 10,013,857,723,024/1,366,928
  6. Step 6: Final answer
    x = 7,325,812.13

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.