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Finding the Third Proportional to 923,762 and 1,381,953

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Solution

The third proportional to 923,762 and 1,381,953 is: 2,067,409.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,762 : 1,381,953 = 1,381,953 : x
  2. Step 2: Convert to fraction form
    923,762/1,381,953 = 1,381,953/x
  3. Step 3: Cross multiply
    923,762x = 1,381,953 × 1,381,953
  4. Step 4: Simplify right side
    923,762x = 1,909,794,094,209
  5. Step 5: Solve for x
    x = 1,909,794,094,209/923,762
  6. Step 6: Final answer
    x = 2,067,409.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.