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Finding the Third Proportional to 523,091 and 1,108,955

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Solution

The third proportional to 523,091 and 1,108,955 is: 2,350,989.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,091 : 1,108,955 = 1,108,955 : x
  2. Step 2: Convert to fraction form
    523,091/1,108,955 = 1,108,955/x
  3. Step 3: Cross multiply
    523,091x = 1,108,955 × 1,108,955
  4. Step 4: Simplify right side
    523,091x = 1,229,781,192,025
  5. Step 5: Solve for x
    x = 1,229,781,192,025/523,091
  6. Step 6: Final answer
    x = 2,350,989.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.