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Finding the Third Proportional to 435,896.81 and 938,588.25

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Solution

The third proportional to 435,896.81 and 938,588.25 is: 2,021,001.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,896.81 : 938,588.25 = 938,588.25 : x
  2. Step 2: Convert to fraction form
    435,896.81/938,588.25 = 938,588.25/x
  3. Step 3: Cross multiply
    435,896.81x = 938,588.25 × 938,588.25
  4. Step 4: Simplify right side
    435,896.81x = 880,947,903,038.06
  5. Step 5: Solve for x
    x = 880,947,903,038.06/435,896.81
  6. Step 6: Final answer
    x = 2,021,001.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.