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Finding the Third Proportional to 523,053 and 1,134,108

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Solution

The third proportional to 523,053 and 1,134,108 is: 2,459,026.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,053 : 1,134,108 = 1,134,108 : x
  2. Step 2: Convert to fraction form
    523,053/1,134,108 = 1,134,108/x
  3. Step 3: Cross multiply
    523,053x = 1,134,108 × 1,134,108
  4. Step 4: Simplify right side
    523,053x = 1,286,200,955,664
  5. Step 5: Solve for x
    x = 1,286,200,955,664/523,053
  6. Step 6: Final answer
    x = 2,459,026.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.