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Finding the Third Proportional to 1,087,069.50 and 2,305,683

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Solution

The third proportional to 1,087,069.50 and 2,305,683 is: 4,890,371.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087,069.50 : 2,305,683 = 2,305,683 : x
  2. Step 2: Convert to fraction form
    1,087,069.50/2,305,683 = 2,305,683/x
  3. Step 3: Cross multiply
    1,087,069.50x = 2,305,683 × 2,305,683
  4. Step 4: Simplify right side
    1,087,069.50x = 5,316,174,096,489
  5. Step 5: Solve for x
    x = 5,316,174,096,489/1,087,069.50
  6. Step 6: Final answer
    x = 4,890,371.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.