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Finding the Third Proportional to 923,696 and 1,470,918

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Solution

The third proportional to 923,696 and 1,470,918 is: 2,342,328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,696 : 1,470,918 = 1,470,918 : x
  2. Step 2: Convert to fraction form
    923,696/1,470,918 = 1,470,918/x
  3. Step 3: Cross multiply
    923,696x = 1,470,918 × 1,470,918
  4. Step 4: Simplify right side
    923,696x = 2,163,599,762,724
  5. Step 5: Solve for x
    x = 2,163,599,762,724/923,696
  6. Step 6: Final answer
    x = 2,342,328.82

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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.