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Finding the Third Proportional to 882,135 and 1,913,634

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Solution

The third proportional to 882,135 and 1,913,634 is: 4,151,286.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,135 : 1,913,634 = 1,913,634 : x
  2. Step 2: Convert to fraction form
    882,135/1,913,634 = 1,913,634/x
  3. Step 3: Cross multiply
    882,135x = 1,913,634 × 1,913,634
  4. Step 4: Simplify right side
    882,135x = 3,661,995,085,956
  5. Step 5: Solve for x
    x = 3,661,995,085,956/882,135
  6. Step 6: Final answer
    x = 4,151,286.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.