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Finding the Third Proportional to 470,106 and 1,033,524

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Solution

The third proportional to 470,106 and 1,033,524 is: 2,272,193.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,106 : 1,033,524 = 1,033,524 : x
  2. Step 2: Convert to fraction form
    470,106/1,033,524 = 1,033,524/x
  3. Step 3: Cross multiply
    470,106x = 1,033,524 × 1,033,524
  4. Step 4: Simplify right side
    470,106x = 1,068,171,858,576
  5. Step 5: Solve for x
    x = 1,068,171,858,576/470,106
  6. Step 6: Final answer
    x = 2,272,193.63

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.