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Finding the Third Proportional to 923,163 and 1,354,789

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Solution

The third proportional to 923,163 and 1,354,789 is: 1,988,222.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,163 : 1,354,789 = 1,354,789 : x
  2. Step 2: Convert to fraction form
    923,163/1,354,789 = 1,354,789/x
  3. Step 3: Cross multiply
    923,163x = 1,354,789 × 1,354,789
  4. Step 4: Simplify right side
    923,163x = 1,835,453,234,521
  5. Step 5: Solve for x
    x = 1,835,453,234,521/923,163
  6. Step 6: Final answer
    x = 1,988,222.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.