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Finding the Third Proportional to 975,392,577 and 1,485,955,917

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Solution

The third proportional to 975,392,577 and 1,485,955,917 is: 2,263,770,546.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,392,577 : 1,485,955,917 = 1,485,955,917 : x
  2. Step 2: Convert to fraction form
    975,392,577/1,485,955,917 = 1,485,955,917/x
  3. Step 3: Cross multiply
    975,392,577x = 1,485,955,917 × 1,485,955,917
  4. Step 4: Simplify right side
    975,392,577x = 2,208,064,987,267,310,848
  5. Step 5: Solve for x
    x = 2,208,064,987,267,310,848/975,392,577
  6. Step 6: Final answer
    x = 2,263,770,546.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.