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Finding the Third Proportional to 615,101 and 1,322,170

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Solution

The third proportional to 615,101 and 1,322,170 is: 2,842,026.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,101 : 1,322,170 = 1,322,170 : x
  2. Step 2: Convert to fraction form
    615,101/1,322,170 = 1,322,170/x
  3. Step 3: Cross multiply
    615,101x = 1,322,170 × 1,322,170
  4. Step 4: Simplify right side
    615,101x = 1,748,133,508,900
  5. Step 5: Solve for x
    x = 1,748,133,508,900/615,101
  6. Step 6: Final answer
    x = 2,842,026.77

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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.