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Finding the Third Proportional to 923,161 and 1,354,786

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Solution

The third proportional to 923,161 and 1,354,786 is: 1,988,217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,161 : 1,354,786 = 1,354,786 : x
  2. Step 2: Convert to fraction form
    923,161/1,354,786 = 1,354,786/x
  3. Step 3: Cross multiply
    923,161x = 1,354,786 × 1,354,786
  4. Step 4: Simplify right side
    923,161x = 1,835,445,105,796
  5. Step 5: Solve for x
    x = 1,835,445,105,796/923,161
  6. Step 6: Final answer
    x = 1,988,217.77

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