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Finding the Third Proportional to 1,747,222 and 2,562,753

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Solution

The third proportional to 1,747,222 and 2,562,753 is: 3,758,940.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747,222 : 2,562,753 = 2,562,753 : x
  2. Step 2: Convert to fraction form
    1,747,222/2,562,753 = 2,562,753/x
  3. Step 3: Cross multiply
    1,747,222x = 2,562,753 × 2,562,753
  4. Step 4: Simplify right side
    1,747,222x = 6,567,702,939,009
  5. Step 5: Solve for x
    x = 6,567,702,939,009/1,747,222
  6. Step 6: Final answer
    x = 3,758,940.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.