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Finding the Third Proportional to 456,759 and 983,502

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Solution

The third proportional to 456,759 and 983,502 is: 2,117,694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,759 : 983,502 = 983,502 : x
  2. Step 2: Convert to fraction form
    456,759/983,502 = 983,502/x
  3. Step 3: Cross multiply
    456,759x = 983,502 × 983,502
  4. Step 4: Simplify right side
    456,759x = 967,276,184,004
  5. Step 5: Solve for x
    x = 967,276,184,004/456,759
  6. Step 6: Final answer
    x = 2,117,694.85

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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.