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Finding the Third Proportional to 752,106 and 1,165,140

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Solution

The third proportional to 752,106 and 1,165,140 is: 1,804,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,106 : 1,165,140 = 1,165,140 : x
  2. Step 2: Convert to fraction form
    752,106/1,165,140 = 1,165,140/x
  3. Step 3: Cross multiply
    752,106x = 1,165,140 × 1,165,140
  4. Step 4: Simplify right side
    752,106x = 1,357,551,219,600
  5. Step 5: Solve for x
    x = 1,357,551,219,600/752,106
  6. Step 6: Final answer
    x = 1,804,999.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.