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Finding the Third Proportional to 523,838 and 1,124,140

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Solution

The third proportional to 523,838 and 1,124,140 is: 2,412,369.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,838 : 1,124,140 = 1,124,140 : x
  2. Step 2: Convert to fraction form
    523,838/1,124,140 = 1,124,140/x
  3. Step 3: Cross multiply
    523,838x = 1,124,140 × 1,124,140
  4. Step 4: Simplify right side
    523,838x = 1,263,690,739,600
  5. Step 5: Solve for x
    x = 1,263,690,739,600/523,838
  6. Step 6: Final answer
    x = 2,412,369.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.