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Finding the Third Proportional to 1,165,096 and 1,574,120

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Solution

The third proportional to 1,165,096 and 1,574,120 is: 2,126,737.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,096 : 1,574,120 = 1,574,120 : x
  2. Step 2: Convert to fraction form
    1,165,096/1,574,120 = 1,574,120/x
  3. Step 3: Cross multiply
    1,165,096x = 1,574,120 × 1,574,120
  4. Step 4: Simplify right side
    1,165,096x = 2,477,853,774,400
  5. Step 5: Solve for x
    x = 2,477,853,774,400/1,165,096
  6. Step 6: Final answer
    x = 2,126,737.86

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.