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Finding the Third Proportional to 2,106,738.75 and 4,545,354

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Solution

The third proportional to 2,106,738.75 and 4,545,354 is: 9,806,741.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,738.75 : 4,545,354 = 4,545,354 : x
  2. Step 2: Convert to fraction form
    2,106,738.75/4,545,354 = 4,545,354/x
  3. Step 3: Cross multiply
    2,106,738.75x = 4,545,354 × 4,545,354
  4. Step 4: Simplify right side
    2,106,738.75x = 20,660,242,985,316
  5. Step 5: Solve for x
    x = 20,660,242,985,316/2,106,738.75
  6. Step 6: Final answer
    x = 9,806,741.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.