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Finding the Third Proportional to 985,216 and 2,132,361

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Solution

The third proportional to 985,216 and 2,132,361 is: 4,615,194.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,216 : 2,132,361 = 2,132,361 : x
  2. Step 2: Convert to fraction form
    985,216/2,132,361 = 2,132,361/x
  3. Step 3: Cross multiply
    985,216x = 2,132,361 × 2,132,361
  4. Step 4: Simplify right side
    985,216x = 4,546,963,434,321
  5. Step 5: Solve for x
    x = 4,546,963,434,321/985,216
  6. Step 6: Final answer
    x = 4,615,194.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.