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Finding the Third Proportional to 480,966 and 1,028,628

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Solution

The third proportional to 480,966 and 1,028,628 is: 2,199,896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,966 : 1,028,628 = 1,028,628 : x
  2. Step 2: Convert to fraction form
    480,966/1,028,628 = 1,028,628/x
  3. Step 3: Cross multiply
    480,966x = 1,028,628 × 1,028,628
  4. Step 4: Simplify right side
    480,966x = 1,058,075,562,384
  5. Step 5: Solve for x
    x = 1,058,075,562,384/480,966
  6. Step 6: Final answer
    x = 2,199,896.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.