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Finding the Third Proportional to 985,119 and 2,127,414

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Solution

The third proportional to 985,119 and 2,127,414 is: 4,594,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,119 : 2,127,414 = 2,127,414 : x
  2. Step 2: Convert to fraction form
    985,119/2,127,414 = 2,127,414/x
  3. Step 3: Cross multiply
    985,119x = 2,127,414 × 2,127,414
  4. Step 4: Simplify right side
    985,119x = 4,525,890,327,396
  5. Step 5: Solve for x
    x = 4,525,890,327,396/985,119
  6. Step 6: Final answer
    x = 4,594,257.47

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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.