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Finding the Third Proportional to 1,082,257,326 and 1,673,085,663

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Solution

The third proportional to 1,082,257,326 and 1,673,085,663 is: 2,586,460,325.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,257,326 : 1,673,085,663 = 1,673,085,663 : x
  2. Step 2: Convert to fraction form
    1,082,257,326/1,673,085,663 = 1,673,085,663/x
  3. Step 3: Cross multiply
    1,082,257,326x = 1,673,085,663 × 1,673,085,663
  4. Step 4: Simplify right side
    1,082,257,326x = 2,799,215,635,736,149,504
  5. Step 5: Solve for x
    x = 2,799,215,635,736,149,504/1,082,257,326
  6. Step 6: Final answer
    x = 2,586,460,325.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.