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Finding the Third Proportional to 269,217,648 and 585,604,833

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Solution

The third proportional to 269,217,648 and 585,604,833 is: 1,273,813,299.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,217,648 : 585,604,833 = 585,604,833 : x
  2. Step 2: Convert to fraction form
    269,217,648/585,604,833 = 585,604,833/x
  3. Step 3: Cross multiply
    269,217,648x = 585,604,833 × 585,604,833
  4. Step 4: Simplify right side
    269,217,648x = 342,933,020,432,957,888
  5. Step 5: Solve for x
    x = 342,933,020,432,957,888/269,217,648
  6. Step 6: Final answer
    x = 1,273,813,299.32

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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.