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Finding the Third Proportional to 644,952 and 1,342,836

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Solution

The third proportional to 644,952 and 1,342,836 is: 2,795,880.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,952 : 1,342,836 = 1,342,836 : x
  2. Step 2: Convert to fraction form
    644,952/1,342,836 = 1,342,836/x
  3. Step 3: Cross multiply
    644,952x = 1,342,836 × 1,342,836
  4. Step 4: Simplify right side
    644,952x = 1,803,208,522,896
  5. Step 5: Solve for x
    x = 1,803,208,522,896/644,952
  6. Step 6: Final answer
    x = 2,795,880.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.