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Finding the Third Proportional to 400,441,430 and 619,714,965

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Solution

The third proportional to 400,441,430 and 619,714,965 is: 959,058,201.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,441,430 : 619,714,965 = 619,714,965 : x
  2. Step 2: Convert to fraction form
    400,441,430/619,714,965 = 619,714,965/x
  3. Step 3: Cross multiply
    400,441,430x = 619,714,965 × 619,714,965
  4. Step 4: Simplify right side
    400,441,430x = 384,046,637,844,951,232
  5. Step 5: Solve for x
    x = 384,046,637,844,951,232/400,441,430
  6. Step 6: Final answer
    x = 959,058,201.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.