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Finding the Third Proportional to 1,928,736 and 4,200,354

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Solution

The third proportional to 1,928,736 and 4,200,354 is: 9,147,428.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928,736 : 4,200,354 = 4,200,354 : x
  2. Step 2: Convert to fraction form
    1,928,736/4,200,354 = 4,200,354/x
  3. Step 3: Cross multiply
    1,928,736x = 4,200,354 × 4,200,354
  4. Step 4: Simplify right side
    1,928,736x = 17,642,973,725,316
  5. Step 5: Solve for x
    x = 17,642,973,725,316/1,928,736
  6. Step 6: Final answer
    x = 9,147,428.02

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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.