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Finding the Third Proportional to 523,102.50 and 1,108,986

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Solution

The third proportional to 523,102.50 and 1,108,986 is: 2,351,068.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,102.50 : 1,108,986 = 1,108,986 : x
  2. Step 2: Convert to fraction form
    523,102.50/1,108,986 = 1,108,986/x
  3. Step 3: Cross multiply
    523,102.50x = 1,108,986 × 1,108,986
  4. Step 4: Simplify right side
    523,102.50x = 1,229,849,948,196
  5. Step 5: Solve for x
    x = 1,229,849,948,196/523,102.50
  6. Step 6: Final answer
    x = 2,351,068.76

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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.