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Finding the Third Proportional to 612,387 and 1,313,307

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Solution

The third proportional to 612,387 and 1,313,307 is: 2,816,479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,387 : 1,313,307 = 1,313,307 : x
  2. Step 2: Convert to fraction form
    612,387/1,313,307 = 1,313,307/x
  3. Step 3: Cross multiply
    612,387x = 1,313,307 × 1,313,307
  4. Step 4: Simplify right side
    612,387x = 1,724,775,276,249
  5. Step 5: Solve for x
    x = 1,724,775,276,249/612,387
  6. Step 6: Final answer
    x = 2,816,479.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.