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Finding the Third Proportional to 2,021,313 and 2,956,729

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Solution

The third proportional to 2,021,313 and 2,956,729 is: 4,325,033.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,313 : 2,956,729 = 2,956,729 : x
  2. Step 2: Convert to fraction form
    2,021,313/2,956,729 = 2,956,729/x
  3. Step 3: Cross multiply
    2,021,313x = 2,956,729 × 2,956,729
  4. Step 4: Simplify right side
    2,021,313x = 8,742,246,379,441
  5. Step 5: Solve for x
    x = 8,742,246,379,441/2,021,313
  6. Step 6: Final answer
    x = 4,325,033.47

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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.