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Finding the Third Proportional to 881,872 and 1,914,080

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Solution

The third proportional to 881,872 and 1,914,080 is: 4,154,460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    881,872 : 1,914,080 = 1,914,080 : x
  2. Step 2: Convert to fraction form
    881,872/1,914,080 = 1,914,080/x
  3. Step 3: Cross multiply
    881,872x = 1,914,080 × 1,914,080
  4. Step 4: Simplify right side
    881,872x = 3,663,702,246,400
  5. Step 5: Solve for x
    x = 3,663,702,246,400/881,872
  6. Step 6: Final answer
    x = 4,154,460.34

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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.