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Finding the Third Proportional to 2,703,541 and 4,184,735

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Solution

The third proportional to 2,703,541 and 4,184,735 is: 6,477,433.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703,541 : 4,184,735 = 4,184,735 : x
  2. Step 2: Convert to fraction form
    2,703,541/4,184,735 = 4,184,735/x
  3. Step 3: Cross multiply
    2,703,541x = 4,184,735 × 4,184,735
  4. Step 4: Simplify right side
    2,703,541x = 17,512,007,020,225
  5. Step 5: Solve for x
    x = 17,512,007,020,225/2,703,541
  6. Step 6: Final answer
    x = 6,477,433.49

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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.