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Finding the Third Proportional to 648,462 and 1,035,933

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Solution

The third proportional to 648,462 and 1,035,933 is: 1,654,926.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,462 : 1,035,933 = 1,035,933 : x
  2. Step 2: Convert to fraction form
    648,462/1,035,933 = 1,035,933/x
  3. Step 3: Cross multiply
    648,462x = 1,035,933 × 1,035,933
  4. Step 4: Simplify right side
    648,462x = 1,073,157,180,489
  5. Step 5: Solve for x
    x = 1,073,157,180,489/648,462
  6. Step 6: Final answer
    x = 1,654,926.86

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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.