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Finding the Third Proportional to 648,513 and 1,036,012

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Solution

The third proportional to 648,513 and 1,036,012 is: 1,655,049.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,513 : 1,036,012 = 1,036,012 : x
  2. Step 2: Convert to fraction form
    648,513/1,036,012 = 1,036,012/x
  3. Step 3: Cross multiply
    648,513x = 1,036,012 × 1,036,012
  4. Step 4: Simplify right side
    648,513x = 1,073,320,864,144
  5. Step 5: Solve for x
    x = 1,073,320,864,144/648,513
  6. Step 6: Final answer
    x = 1,655,049.11

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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.