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Finding the Third Proportional to 616,795 and 1,315,021

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Solution

The third proportional to 616,795 and 1,315,021 is: 2,803,654.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,795 : 1,315,021 = 1,315,021 : x
  2. Step 2: Convert to fraction form
    616,795/1,315,021 = 1,315,021/x
  3. Step 3: Cross multiply
    616,795x = 1,315,021 × 1,315,021
  4. Step 4: Simplify right side
    616,795x = 1,729,280,230,441
  5. Step 5: Solve for x
    x = 1,729,280,230,441/616,795
  6. Step 6: Final answer
    x = 2,803,654.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.