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Finding the Third Proportional to 1,245,760 and 1,923,848

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Solution

The third proportional to 1,245,760 and 1,923,848 is: 2,971,030.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245,760 : 1,923,848 = 1,923,848 : x
  2. Step 2: Convert to fraction form
    1,245,760/1,923,848 = 1,923,848/x
  3. Step 3: Cross multiply
    1,245,760x = 1,923,848 × 1,923,848
  4. Step 4: Simplify right side
    1,245,760x = 3,701,191,127,104
  5. Step 5: Solve for x
    x = 3,701,191,127,104/1,245,760
  6. Step 6: Final answer
    x = 2,971,030.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.