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Finding the Third Proportional to 1,828,344 and 3,937,657

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Solution

The third proportional to 1,828,344 and 3,937,657 is: 8,480,429.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828,344 : 3,937,657 = 3,937,657 : x
  2. Step 2: Convert to fraction form
    1,828,344/3,937,657 = 3,937,657/x
  3. Step 3: Cross multiply
    1,828,344x = 3,937,657 × 3,937,657
  4. Step 4: Simplify right side
    1,828,344x = 15,505,142,649,649
  5. Step 5: Solve for x
    x = 15,505,142,649,649/1,828,344
  6. Step 6: Final answer
    x = 8,480,429.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.