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Finding the Third Proportional to 677,928 and 1,473,820

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Solution

The third proportional to 677,928 and 1,473,820 is: 3,204,094.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,928 : 1,473,820 = 1,473,820 : x
  2. Step 2: Convert to fraction form
    677,928/1,473,820 = 1,473,820/x
  3. Step 3: Cross multiply
    677,928x = 1,473,820 × 1,473,820
  4. Step 4: Simplify right side
    677,928x = 2,172,145,392,400
  5. Step 5: Solve for x
    x = 2,172,145,392,400/677,928
  6. Step 6: Final answer
    x = 3,204,094.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.