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Finding the Third Proportional to 578,544 and 1,245,888

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Solution

The third proportional to 578,544 and 1,245,888 is: 2,683,005.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,544 : 1,245,888 = 1,245,888 : x
  2. Step 2: Convert to fraction form
    578,544/1,245,888 = 1,245,888/x
  3. Step 3: Cross multiply
    578,544x = 1,245,888 × 1,245,888
  4. Step 4: Simplify right side
    578,544x = 1,552,236,908,544
  5. Step 5: Solve for x
    x = 1,552,236,908,544/578,544
  6. Step 6: Final answer
    x = 2,683,005.80

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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.