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Finding the Third Proportional to 2,991,206 and 4,640,457

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Solution

The third proportional to 2,991,206 and 4,640,457 is: 7,199,049.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991,206 : 4,640,457 = 4,640,457 : x
  2. Step 2: Convert to fraction form
    2,991,206/4,640,457 = 4,640,457/x
  3. Step 3: Cross multiply
    2,991,206x = 4,640,457 × 4,640,457
  4. Step 4: Simplify right side
    2,991,206x = 21,533,841,168,849
  5. Step 5: Solve for x
    x = 21,533,841,168,849/2,991,206
  6. Step 6: Final answer
    x = 7,199,049.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.