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Finding the Third Proportional to 584,172 and 1,212,732

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Solution

The third proportional to 584,172 and 1,212,732 is: 2,517,612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,172 : 1,212,732 = 1,212,732 : x
  2. Step 2: Convert to fraction form
    584,172/1,212,732 = 1,212,732/x
  3. Step 3: Cross multiply
    584,172x = 1,212,732 × 1,212,732
  4. Step 4: Simplify right side
    584,172x = 1,470,718,903,824
  5. Step 5: Solve for x
    x = 1,470,718,903,824/584,172
  6. Step 6: Final answer
    x = 2,517,612.80

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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.