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Finding the Third Proportional to 896,157 and 1,935,414

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Solution

The third proportional to 896,157 and 1,935,414 is: 4,179,878.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,157 : 1,935,414 = 1,935,414 : x
  2. Step 2: Convert to fraction form
    896,157/1,935,414 = 1,935,414/x
  3. Step 3: Cross multiply
    896,157x = 1,935,414 × 1,935,414
  4. Step 4: Simplify right side
    896,157x = 3,745,827,351,396
  5. Step 5: Solve for x
    x = 3,745,827,351,396/896,157
  6. Step 6: Final answer
    x = 4,179,878.47

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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.