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Finding the Third Proportional to 982,089 and 2,114,352

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Solution

The third proportional to 982,089 and 2,114,352 is: 4,552,015.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,089 : 2,114,352 = 2,114,352 : x
  2. Step 2: Convert to fraction form
    982,089/2,114,352 = 2,114,352/x
  3. Step 3: Cross multiply
    982,089x = 2,114,352 × 2,114,352
  4. Step 4: Simplify right side
    982,089x = 4,470,484,379,904
  5. Step 5: Solve for x
    x = 4,470,484,379,904/982,089
  6. Step 6: Final answer
    x = 4,552,015.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.