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Finding the Third Proportional to 1,004,564 and 1,285,230

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Solution

The third proportional to 1,004,564 and 1,285,230 is: 1,644,311.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,564 : 1,285,230 = 1,285,230 : x
  2. Step 2: Convert to fraction form
    1,004,564/1,285,230 = 1,285,230/x
  3. Step 3: Cross multiply
    1,004,564x = 1,285,230 × 1,285,230
  4. Step 4: Simplify right side
    1,004,564x = 1,651,816,152,900
  5. Step 5: Solve for x
    x = 1,651,816,152,900/1,004,564
  6. Step 6: Final answer
    x = 1,644,311.52

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.