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Finding the Third Proportional to 923,698 and 1,470,928

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Solution

The third proportional to 923,698 and 1,470,928 is: 2,342,355.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,698 : 1,470,928 = 1,470,928 : x
  2. Step 2: Convert to fraction form
    923,698/1,470,928 = 1,470,928/x
  3. Step 3: Cross multiply
    923,698x = 1,470,928 × 1,470,928
  4. Step 4: Simplify right side
    923,698x = 2,163,629,181,184
  5. Step 5: Solve for x
    x = 2,163,629,181,184/923,698
  6. Step 6: Final answer
    x = 2,342,355.60

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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.