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Finding the Third Proportional to 470,023 and 964,930

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Solution

The third proportional to 470,023 and 964,930 is: 1,980,945.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,023 : 964,930 = 964,930 : x
  2. Step 2: Convert to fraction form
    470,023/964,930 = 964,930/x
  3. Step 3: Cross multiply
    470,023x = 964,930 × 964,930
  4. Step 4: Simplify right side
    470,023x = 931,089,904,900
  5. Step 5: Solve for x
    x = 931,089,904,900/470,023
  6. Step 6: Final answer
    x = 1,980,945.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.