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Finding the Third Proportional to 445,189 and 1,049,854

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Solution

The third proportional to 445,189 and 1,049,854 is: 2,475,787.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,189 : 1,049,854 = 1,049,854 : x
  2. Step 2: Convert to fraction form
    445,189/1,049,854 = 1,049,854/x
  3. Step 3: Cross multiply
    445,189x = 1,049,854 × 1,049,854
  4. Step 4: Simplify right side
    445,189x = 1,102,193,421,316
  5. Step 5: Solve for x
    x = 1,102,193,421,316/445,189
  6. Step 6: Final answer
    x = 2,475,787.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.