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Finding the Third Proportional to 616,152 and 1,323,984

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Solution

The third proportional to 616,152 and 1,323,984 is: 2,844,969.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,152 : 1,323,984 = 1,323,984 : x
  2. Step 2: Convert to fraction form
    616,152/1,323,984 = 1,323,984/x
  3. Step 3: Cross multiply
    616,152x = 1,323,984 × 1,323,984
  4. Step 4: Simplify right side
    616,152x = 1,752,933,632,256
  5. Step 5: Solve for x
    x = 1,752,933,632,256/616,152
  6. Step 6: Final answer
    x = 2,844,969.48

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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.