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Finding the Third Proportional to 648,512 and 1,036,014

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Solution

The third proportional to 648,512 and 1,036,014 is: 1,655,058.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,512 : 1,036,014 = 1,036,014 : x
  2. Step 2: Convert to fraction form
    648,512/1,036,014 = 1,036,014/x
  3. Step 3: Cross multiply
    648,512x = 1,036,014 × 1,036,014
  4. Step 4: Simplify right side
    648,512x = 1,073,325,008,196
  5. Step 5: Solve for x
    x = 1,073,325,008,196/648,512
  6. Step 6: Final answer
    x = 1,655,058.05

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.