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Finding the Third Proportional to 2,966,491.38 and 4,457,635.38

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Solution

The third proportional to 2,966,491.38 and 4,457,635.38 is: 6,698,321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966,491.38 : 4,457,635.38 = 4,457,635.38 : x
  2. Step 2: Convert to fraction form
    2,966,491.38/4,457,635.38 = 4,457,635.38/x
  3. Step 3: Cross multiply
    2,966,491.38x = 4,457,635.38 × 4,457,635.38
  4. Step 4: Simplify right side
    2,966,491.38x = 19,870,513,136,451.39
  5. Step 5: Solve for x
    x = 19,870,513,136,451.39/2,966,491.38
  6. Step 6: Final answer
    x = 6,698,321.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.