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Finding the Third Proportional to 1,928,592 and 4,200,057

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Solution

The third proportional to 1,928,592 and 4,200,057 is: 9,146,817.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928,592 : 4,200,057 = 4,200,057 : x
  2. Step 2: Convert to fraction form
    1,928,592/4,200,057 = 4,200,057/x
  3. Step 3: Cross multiply
    1,928,592x = 4,200,057 × 4,200,057
  4. Step 4: Simplify right side
    1,928,592x = 17,640,478,803,249
  5. Step 5: Solve for x
    x = 17,640,478,803,249/1,928,592
  6. Step 6: Final answer
    x = 9,146,817.37

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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.