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Finding the Third Proportional to 523,095 and 1,108,971

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Solution

The third proportional to 523,095 and 1,108,971 is: 2,351,038.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,095 : 1,108,971 = 1,108,971 : x
  2. Step 2: Convert to fraction form
    523,095/1,108,971 = 1,108,971/x
  3. Step 3: Cross multiply
    523,095x = 1,108,971 × 1,108,971
  4. Step 4: Simplify right side
    523,095x = 1,229,816,678,841
  5. Step 5: Solve for x
    x = 1,229,816,678,841/523,095
  6. Step 6: Final answer
    x = 2,351,038.87

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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.