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Finding the Third Proportional to 728,076 and 1,139,652

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Solution

The third proportional to 728,076 and 1,139,652 is: 1,783,888.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,076 : 1,139,652 = 1,139,652 : x
  2. Step 2: Convert to fraction form
    728,076/1,139,652 = 1,139,652/x
  3. Step 3: Cross multiply
    728,076x = 1,139,652 × 1,139,652
  4. Step 4: Simplify right side
    728,076x = 1,298,806,681,104
  5. Step 5: Solve for x
    x = 1,298,806,681,104/728,076
  6. Step 6: Final answer
    x = 1,783,888.88

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.