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Finding the Third Proportional to 945,879 and 2,075,712

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Solution

The third proportional to 945,879 and 2,075,712 is: 4,555,107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,879 : 2,075,712 = 2,075,712 : x
  2. Step 2: Convert to fraction form
    945,879/2,075,712 = 2,075,712/x
  3. Step 3: Cross multiply
    945,879x = 2,075,712 × 2,075,712
  4. Step 4: Simplify right side
    945,879x = 4,308,580,306,944
  5. Step 5: Solve for x
    x = 4,308,580,306,944/945,879
  6. Step 6: Final answer
    x = 4,555,107.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.