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Finding the Third Proportional to 414,025 and 887,072

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Solution

The third proportional to 414,025 and 887,072 is: 1,900,601.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,025 : 887,072 = 887,072 : x
  2. Step 2: Convert to fraction form
    414,025/887,072 = 887,072/x
  3. Step 3: Cross multiply
    414,025x = 887,072 × 887,072
  4. Step 4: Simplify right side
    414,025x = 786,896,733,184
  5. Step 5: Solve for x
    x = 786,896,733,184/414,025
  6. Step 6: Final answer
    x = 1,900,601.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.