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Finding the Third Proportional to 502,809,702.19 and 1,082,464,013.25

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Solution

The third proportional to 502,809,702.19 and 1,082,464,013.25 is: 2,330,361,436.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,809,702.19 : 1,082,464,013.25 = 1,082,464,013.25 : x
  2. Step 2: Convert to fraction form
    502,809,702.19/1,082,464,013.25 = 1,082,464,013.25/x
  3. Step 3: Cross multiply
    502,809,702.19x = 1,082,464,013.25 × 1,082,464,013.25
  4. Step 4: Simplify right side
    502,809,702.19x = 1,171,728,339,981,296,128
  5. Step 5: Solve for x
    x = 1,171,728,339,981,296,128/502,809,702.19
  6. Step 6: Final answer
    x = 2,330,361,436.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.