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Finding the Third Proportional to 470,110 and 1,033,532

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Solution

The third proportional to 470,110 and 1,033,532 is: 2,272,209.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,110 : 1,033,532 = 1,033,532 : x
  2. Step 2: Convert to fraction form
    470,110/1,033,532 = 1,033,532/x
  3. Step 3: Cross multiply
    470,110x = 1,033,532 × 1,033,532
  4. Step 4: Simplify right side
    470,110x = 1,068,188,395,024
  5. Step 5: Solve for x
    x = 1,068,188,395,024/470,110
  6. Step 6: Final answer
    x = 2,272,209.47

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Why These Related Problems?

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