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Finding the Third Proportional to 616,610 and 1,345,267

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Solution

The third proportional to 616,610 and 1,345,267 is: 2,934,988.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,610 : 1,345,267 = 1,345,267 : x
  2. Step 2: Convert to fraction form
    616,610/1,345,267 = 1,345,267/x
  3. Step 3: Cross multiply
    616,610x = 1,345,267 × 1,345,267
  4. Step 4: Simplify right side
    616,610x = 1,809,743,301,289
  5. Step 5: Solve for x
    x = 1,809,743,301,289/616,610
  6. Step 6: Final answer
    x = 2,934,988.57

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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.