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Finding the Third Proportional to 584,232 and 1,196,096

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Solution

The third proportional to 584,232 and 1,196,096 is: 2,448,762.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,232 : 1,196,096 = 1,196,096 : x
  2. Step 2: Convert to fraction form
    584,232/1,196,096 = 1,196,096/x
  3. Step 3: Cross multiply
    584,232x = 1,196,096 × 1,196,096
  4. Step 4: Simplify right side
    584,232x = 1,430,645,641,216
  5. Step 5: Solve for x
    x = 1,430,645,641,216/584,232
  6. Step 6: Final answer
    x = 2,448,762.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.