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Finding the Third Proportional to 616,284 and 1,346,004

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Solution

The third proportional to 616,284 and 1,346,004 is: 2,939,759.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,284 : 1,346,004 = 1,346,004 : x
  2. Step 2: Convert to fraction form
    616,284/1,346,004 = 1,346,004/x
  3. Step 3: Cross multiply
    616,284x = 1,346,004 × 1,346,004
  4. Step 4: Simplify right side
    616,284x = 1,811,726,768,016
  5. Step 5: Solve for x
    x = 1,811,726,768,016/616,284
  6. Step 6: Final answer
    x = 2,939,759.54

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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.