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Finding the Third Proportional to 728,088 and 1,139,666

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Solution

The third proportional to 728,088 and 1,139,666 is: 1,783,903.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,088 : 1,139,666 = 1,139,666 : x
  2. Step 2: Convert to fraction form
    728,088/1,139,666 = 1,139,666/x
  3. Step 3: Cross multiply
    728,088x = 1,139,666 × 1,139,666
  4. Step 4: Simplify right side
    728,088x = 1,298,838,591,556
  5. Step 5: Solve for x
    x = 1,298,838,591,556/728,088
  6. Step 6: Final answer
    x = 1,783,903.31

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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.