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Finding the Third Proportional to 1,468,002 and 2,145,354

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Solution

The third proportional to 1,468,002 and 2,145,354 is: 3,135,243.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468,002 : 2,145,354 = 2,145,354 : x
  2. Step 2: Convert to fraction form
    1,468,002/2,145,354 = 2,145,354/x
  3. Step 3: Cross multiply
    1,468,002x = 2,145,354 × 2,145,354
  4. Step 4: Simplify right side
    1,468,002x = 4,602,543,785,316
  5. Step 5: Solve for x
    x = 4,602,543,785,316/1,468,002
  6. Step 6: Final answer
    x = 3,135,243.54

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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.