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Finding the Third Proportional to 615,114 and 1,322,196

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Solution

The third proportional to 615,114 and 1,322,196 is: 2,842,078.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,114 : 1,322,196 = 1,322,196 : x
  2. Step 2: Convert to fraction form
    615,114/1,322,196 = 1,322,196/x
  3. Step 3: Cross multiply
    615,114x = 1,322,196 × 1,322,196
  4. Step 4: Simplify right side
    615,114x = 1,748,202,262,416
  5. Step 5: Solve for x
    x = 1,748,202,262,416/615,114
  6. Step 6: Final answer
    x = 2,842,078.48

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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.