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Finding the Third Proportional to 526,796,973 and 1,134,505,440

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Solution

The third proportional to 526,796,973 and 1,134,505,440 is: 2,443,261,179.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,796,973 : 1,134,505,440 = 1,134,505,440 : x
  2. Step 2: Convert to fraction form
    526,796,973/1,134,505,440 = 1,134,505,440/x
  3. Step 3: Cross multiply
    526,796,973x = 1,134,505,440 × 1,134,505,440
  4. Step 4: Simplify right side
    526,796,973x = 1,287,102,593,389,593,600
  5. Step 5: Solve for x
    x = 1,287,102,593,389,593,600/526,796,973
  6. Step 6: Final answer
    x = 2,443,261,179.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.