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Finding the Third Proportional to 511,265,827 and 1,104,253,000

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Solution

The third proportional to 511,265,827 and 1,104,253,000 is: 2,385,011,130.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,265,827 : 1,104,253,000 = 1,104,253,000 : x
  2. Step 2: Convert to fraction form
    511,265,827/1,104,253,000 = 1,104,253,000/x
  3. Step 3: Cross multiply
    511,265,827x = 1,104,253,000 × 1,104,253,000
  4. Step 4: Simplify right side
    511,265,827x = 1,219,374,688,008,999,936
  5. Step 5: Solve for x
    x = 1,219,374,688,008,999,936/511,265,827
  6. Step 6: Final answer
    x = 2,385,011,130.44

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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.