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Finding the Third Proportional to 857,144 and 1,809,712

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Solution

The third proportional to 857,144 and 1,809,712 is: 3,820,895.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,144 : 1,809,712 = 1,809,712 : x
  2. Step 2: Convert to fraction form
    857,144/1,809,712 = 1,809,712/x
  3. Step 3: Cross multiply
    857,144x = 1,809,712 × 1,809,712
  4. Step 4: Simplify right side
    857,144x = 3,275,057,522,944
  5. Step 5: Solve for x
    x = 3,275,057,522,944/857,144
  6. Step 6: Final answer
    x = 3,820,895.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.