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Finding the Third Proportional to 527,454 and 1,162,476

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Solution

The third proportional to 527,454 and 1,162,476 is: 2,562,025.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,454 : 1,162,476 = 1,162,476 : x
  2. Step 2: Convert to fraction form
    527,454/1,162,476 = 1,162,476/x
  3. Step 3: Cross multiply
    527,454x = 1,162,476 × 1,162,476
  4. Step 4: Simplify right side
    527,454x = 1,351,350,450,576
  5. Step 5: Solve for x
    x = 1,351,350,450,576/527,454
  6. Step 6: Final answer
    x = 2,562,025.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.