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Finding the Third Proportional to 923,694 and 1,470,915

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Solution

The third proportional to 923,694 and 1,470,915 is: 2,342,324.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,694 : 1,470,915 = 1,470,915 : x
  2. Step 2: Convert to fraction form
    923,694/1,470,915 = 1,470,915/x
  3. Step 3: Cross multiply
    923,694x = 1,470,915 × 1,470,915
  4. Step 4: Simplify right side
    923,694x = 2,163,590,937,225
  5. Step 5: Solve for x
    x = 2,163,590,937,225/923,694
  6. Step 6: Final answer
    x = 2,342,324.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.