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Finding the Third Proportional to 771,010,646 and 1,174,584,976

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Solution

The third proportional to 771,010,646 and 1,174,584,976 is: 1,789,404,430.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,010,646 : 1,174,584,976 = 1,174,584,976 : x
  2. Step 2: Convert to fraction form
    771,010,646/1,174,584,976 = 1,174,584,976/x
  3. Step 3: Cross multiply
    771,010,646x = 1,174,584,976 × 1,174,584,976
  4. Step 4: Simplify right side
    771,010,646x = 1,379,649,865,844,920,576
  5. Step 5: Solve for x
    x = 1,379,649,865,844,920,576/771,010,646
  6. Step 6: Final answer
    x = 1,789,404,430.41

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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.