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Finding the Third Proportional to 600,326 and 1,270,348

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Solution

The third proportional to 600,326 and 1,270,348 is: 2,688,179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,326 : 1,270,348 = 1,270,348 : x
  2. Step 2: Convert to fraction form
    600,326/1,270,348 = 1,270,348/x
  3. Step 3: Cross multiply
    600,326x = 1,270,348 × 1,270,348
  4. Step 4: Simplify right side
    600,326x = 1,613,784,041,104
  5. Step 5: Solve for x
    x = 1,613,784,041,104/600,326
  6. Step 6: Final answer
    x = 2,688,179.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.