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Finding the Third Proportional to 946,352 and 2,052,423

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Solution

The third proportional to 946,352 and 2,052,423 is: 4,451,240.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,352 : 2,052,423 = 2,052,423 : x
  2. Step 2: Convert to fraction form
    946,352/2,052,423 = 2,052,423/x
  3. Step 3: Cross multiply
    946,352x = 2,052,423 × 2,052,423
  4. Step 4: Simplify right side
    946,352x = 4,212,440,170,929
  5. Step 5: Solve for x
    x = 4,212,440,170,929/946,352
  6. Step 6: Final answer
    x = 4,451,240.31

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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.