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Finding the Third Proportional to 648,252 and 1,025,652

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Solution

The third proportional to 648,252 and 1,025,652 is: 1,622,767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,252 : 1,025,652 = 1,025,652 : x
  2. Step 2: Convert to fraction form
    648,252/1,025,652 = 1,025,652/x
  3. Step 3: Cross multiply
    648,252x = 1,025,652 × 1,025,652
  4. Step 4: Simplify right side
    648,252x = 1,051,962,025,104
  5. Step 5: Solve for x
    x = 1,051,962,025,104/648,252
  6. Step 6: Final answer
    x = 1,622,767.11

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.