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Finding the Third Proportional to 1,473,774 and 2,162,313

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Solution

The third proportional to 1,473,774 and 2,162,313 is: 3,172,533.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473,774 : 2,162,313 = 2,162,313 : x
  2. Step 2: Convert to fraction form
    1,473,774/2,162,313 = 2,162,313/x
  3. Step 3: Cross multiply
    1,473,774x = 2,162,313 × 2,162,313
  4. Step 4: Simplify right side
    1,473,774x = 4,675,597,509,969
  5. Step 5: Solve for x
    x = 4,675,597,509,969/1,473,774
  6. Step 6: Final answer
    x = 3,172,533.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.