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Finding the Third Proportional to 771,010,644 and 1,174,584,972

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Solution

The third proportional to 771,010,644 and 1,174,584,972 is: 1,789,404,422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,010,644 : 1,174,584,972 = 1,174,584,972 : x
  2. Step 2: Convert to fraction form
    771,010,644/1,174,584,972 = 1,174,584,972/x
  3. Step 3: Cross multiply
    771,010,644x = 1,174,584,972 × 1,174,584,972
  4. Step 4: Simplify right side
    771,010,644x = 1,379,649,856,448,240,896
  5. Step 5: Solve for x
    x = 1,379,649,856,448,240,896/771,010,644
  6. Step 6: Final answer
    x = 1,789,404,422.86

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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.