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Finding the Third Proportional to 1,743,533 and 3,762,303

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Solution

The third proportional to 1,743,533 and 3,762,303 is: 8,118,529.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743,533 : 3,762,303 = 3,762,303 : x
  2. Step 2: Convert to fraction form
    1,743,533/3,762,303 = 3,762,303/x
  3. Step 3: Cross multiply
    1,743,533x = 3,762,303 × 3,762,303
  4. Step 4: Simplify right side
    1,743,533x = 14,154,923,863,809
  5. Step 5: Solve for x
    x = 14,154,923,863,809/1,743,533
  6. Step 6: Final answer
    x = 8,118,529.37

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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.