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Finding the Third Proportional to 470,322 and 1,014,984

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Solution

The third proportional to 470,322 and 1,014,984 is: 2,190,398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,322 : 1,014,984 = 1,014,984 : x
  2. Step 2: Convert to fraction form
    470,322/1,014,984 = 1,014,984/x
  3. Step 3: Cross multiply
    470,322x = 1,014,984 × 1,014,984
  4. Step 4: Simplify right side
    470,322x = 1,030,192,520,256
  5. Step 5: Solve for x
    x = 1,030,192,520,256/470,322
  6. Step 6: Final answer
    x = 2,190,398.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.