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Finding the Third Proportional to 1,780,467 and 3,772,830

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Solution

The third proportional to 1,780,467 and 3,772,830 is: 7,994,670.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780,467 : 3,772,830 = 3,772,830 : x
  2. Step 2: Convert to fraction form
    1,780,467/3,772,830 = 3,772,830/x
  3. Step 3: Cross multiply
    1,780,467x = 3,772,830 × 3,772,830
  4. Step 4: Simplify right side
    1,780,467x = 14,234,246,208,900
  5. Step 5: Solve for x
    x = 14,234,246,208,900/1,780,467
  6. Step 6: Final answer
    x = 7,994,670.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.