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Finding the Third Proportional to 705,030 and 1,059,108

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Solution

The third proportional to 705,030 and 1,059,108 is: 1,591,009.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,030 : 1,059,108 = 1,059,108 : x
  2. Step 2: Convert to fraction form
    705,030/1,059,108 = 1,059,108/x
  3. Step 3: Cross multiply
    705,030x = 1,059,108 × 1,059,108
  4. Step 4: Simplify right side
    705,030x = 1,121,709,755,664
  5. Step 5: Solve for x
    x = 1,121,709,755,664/705,030
  6. Step 6: Final answer
    x = 1,591,009.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.