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Finding the Third Proportional to 1,185,434 and 1,838,307

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Solution

The third proportional to 1,185,434 and 1,838,307 is: 2,850,747.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185,434 : 1,838,307 = 1,838,307 : x
  2. Step 2: Convert to fraction form
    1,185,434/1,838,307 = 1,838,307/x
  3. Step 3: Cross multiply
    1,185,434x = 1,838,307 × 1,838,307
  4. Step 4: Simplify right side
    1,185,434x = 3,379,372,626,249
  5. Step 5: Solve for x
    x = 3,379,372,626,249/1,185,434
  6. Step 6: Final answer
    x = 2,850,747.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.