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Finding the Third Proportional to 876,865 and 1,884,264

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Solution

The third proportional to 876,865 and 1,884,264 is: 4,049,027.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,865 : 1,884,264 = 1,884,264 : x
  2. Step 2: Convert to fraction form
    876,865/1,884,264 = 1,884,264/x
  3. Step 3: Cross multiply
    876,865x = 1,884,264 × 1,884,264
  4. Step 4: Simplify right side
    876,865x = 3,550,450,821,696
  5. Step 5: Solve for x
    x = 3,550,450,821,696/876,865
  6. Step 6: Final answer
    x = 4,049,027.87

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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.