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Finding the Third Proportional to 2,954,389 and 6,426,415

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Solution

The third proportional to 2,954,389 and 6,426,415 is: 13,978,798.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954,389 : 6,426,415 = 6,426,415 : x
  2. Step 2: Convert to fraction form
    2,954,389/6,426,415 = 6,426,415/x
  3. Step 3: Cross multiply
    2,954,389x = 6,426,415 × 6,426,415
  4. Step 4: Simplify right side
    2,954,389x = 41,298,809,752,225
  5. Step 5: Solve for x
    x = 41,298,809,752,225/2,954,389
  6. Step 6: Final answer
    x = 13,978,798.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.