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Finding the Third Proportional to 923,701 and 1,470,932

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Solution

The third proportional to 923,701 and 1,470,932 is: 2,342,360.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,701 : 1,470,932 = 1,470,932 : x
  2. Step 2: Convert to fraction form
    923,701/1,470,932 = 1,470,932/x
  3. Step 3: Cross multiply
    923,701x = 1,470,932 × 1,470,932
  4. Step 4: Simplify right side
    923,701x = 2,163,640,948,624
  5. Step 5: Solve for x
    x = 2,163,640,948,624/923,701
  6. Step 6: Final answer
    x = 2,342,360.73

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