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Finding the Third Proportional to 616,176 and 1,323,414

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Solution

The third proportional to 616,176 and 1,323,414 is: 2,842,409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,176 : 1,323,414 = 1,323,414 : x
  2. Step 2: Convert to fraction form
    616,176/1,323,414 = 1,323,414/x
  3. Step 3: Cross multiply
    616,176x = 1,323,414 × 1,323,414
  4. Step 4: Simplify right side
    616,176x = 1,751,424,615,396
  5. Step 5: Solve for x
    x = 1,751,424,615,396/616,176
  6. Step 6: Final answer
    x = 2,842,409.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.