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Finding the Third Proportional to 610,146 and 923,103

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Solution

The third proportional to 610,146 and 923,103 is: 1,396,582.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,146 : 923,103 = 923,103 : x
  2. Step 2: Convert to fraction form
    610,146/923,103 = 923,103/x
  3. Step 3: Cross multiply
    610,146x = 923,103 × 923,103
  4. Step 4: Simplify right side
    610,146x = 852,119,148,609
  5. Step 5: Solve for x
    x = 852,119,148,609/610,146
  6. Step 6: Final answer
    x = 1,396,582.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.