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Finding the Third Proportional to 771,010,650 and 1,174,584,982

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Solution

The third proportional to 771,010,650 and 1,174,584,982 is: 1,789,404,439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,010,650 : 1,174,584,982 = 1,174,584,982 : x
  2. Step 2: Convert to fraction form
    771,010,650/1,174,584,982 = 1,174,584,982/x
  3. Step 3: Cross multiply
    771,010,650x = 1,174,584,982 × 1,174,584,982
  4. Step 4: Simplify right side
    771,010,650x = 1,379,649,879,939,940,352
  5. Step 5: Solve for x
    x = 1,379,649,879,939,940,352/771,010,650
  6. Step 6: Final answer
    x = 1,789,404,439.41

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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.