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Finding the Third Proportional to 432,504,238 and 943,601,712

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Solution

The third proportional to 432,504,238 and 943,601,712 is: 2,058,671,598.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,504,238 : 943,601,712 = 943,601,712 : x
  2. Step 2: Convert to fraction form
    432,504,238/943,601,712 = 943,601,712/x
  3. Step 3: Cross multiply
    432,504,238x = 943,601,712 × 943,601,712
  4. Step 4: Simplify right side
    432,504,238x = 890,384,190,889,330,944
  5. Step 5: Solve for x
    x = 890,384,190,889,330,944/432,504,238
  6. Step 6: Final answer
    x = 2,058,671,598.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.