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Finding the Third Proportional to 532,132 and 1,138,056

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Solution

The third proportional to 532,132 and 1,138,056 is: 2,433,928.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,132 : 1,138,056 = 1,138,056 : x
  2. Step 2: Convert to fraction form
    532,132/1,138,056 = 1,138,056/x
  3. Step 3: Cross multiply
    532,132x = 1,138,056 × 1,138,056
  4. Step 4: Simplify right side
    532,132x = 1,295,171,459,136
  5. Step 5: Solve for x
    x = 1,295,171,459,136/532,132
  6. Step 6: Final answer
    x = 2,433,928.91

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.