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Finding the Third Proportional to 4,521,328 and 6,828,072

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Solution

The third proportional to 4,521,328 and 6,828,072 is: 10,311,697.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,521,328 : 6,828,072 = 6,828,072 : x
  2. Step 2: Convert to fraction form
    4,521,328/6,828,072 = 6,828,072/x
  3. Step 3: Cross multiply
    4,521,328x = 6,828,072 × 6,828,072
  4. Step 4: Simplify right side
    4,521,328x = 46,622,567,237,184
  5. Step 5: Solve for x
    x = 46,622,567,237,184/4,521,328
  6. Step 6: Final answer
    x = 10,311,697.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.