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Finding the Third Proportional to 492,324 and 1,159,125

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Solution

The third proportional to 492,324 and 1,159,125 is: 2,729,037.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,324 : 1,159,125 = 1,159,125 : x
  2. Step 2: Convert to fraction form
    492,324/1,159,125 = 1,159,125/x
  3. Step 3: Cross multiply
    492,324x = 1,159,125 × 1,159,125
  4. Step 4: Simplify right side
    492,324x = 1,343,570,765,625
  5. Step 5: Solve for x
    x = 1,343,570,765,625/492,324
  6. Step 6: Final answer
    x = 2,729,037.72

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.