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Finding the Third Proportional to 771,196,644 and 1,174,865,094

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Solution

The third proportional to 771,196,644 and 1,174,865,094 is: 1,789,826,239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,196,644 : 1,174,865,094 = 1,174,865,094 : x
  2. Step 2: Convert to fraction form
    771,196,644/1,174,865,094 = 1,174,865,094/x
  3. Step 3: Cross multiply
    771,196,644x = 1,174,865,094 × 1,174,865,094
  4. Step 4: Simplify right side
    771,196,644x = 1,380,307,989,099,628,800
  5. Step 5: Solve for x
    x = 1,380,307,989,099,628,800/771,196,644
  6. Step 6: Final answer
    x = 1,789,826,239.31

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