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Finding the Third Proportional to 269,218,468 and 585,606,476

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Solution

The third proportional to 269,218,468 and 585,606,476 is: 1,273,816,567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,218,468 : 585,606,476 = 585,606,476 : x
  2. Step 2: Convert to fraction form
    269,218,468/585,606,476 = 585,606,476/x
  3. Step 3: Cross multiply
    269,218,468x = 585,606,476 × 585,606,476
  4. Step 4: Simplify right side
    269,218,468x = 342,934,944,733,138,560
  5. Step 5: Solve for x
    x = 342,934,944,733,138,560/269,218,468
  6. Step 6: Final answer
    x = 1,273,816,567.19

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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.