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Finding the Third Proportional to 489,771,000 and 1,065,631,932

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Solution

The third proportional to 489,771,000 and 1,065,631,932 is: 2,318,576,262.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,771,000 : 1,065,631,932 = 1,065,631,932 : x
  2. Step 2: Convert to fraction form
    489,771,000/1,065,631,932 = 1,065,631,932/x
  3. Step 3: Cross multiply
    489,771,000x = 1,065,631,932 × 1,065,631,932
  4. Step 4: Simplify right side
    489,771,000x = 1,135,571,414,498,052,608
  5. Step 5: Solve for x
    x = 1,135,571,414,498,052,608/489,771,000
  6. Step 6: Final answer
    x = 2,318,576,262.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.