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Finding the Third Proportional to 1,457,257.50 and 2,280,847.50

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Solution

The third proportional to 1,457,257.50 and 2,280,847.50 is: 3,569,901.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457,257.50 : 2,280,847.50 = 2,280,847.50 : x
  2. Step 2: Convert to fraction form
    1,457,257.50/2,280,847.50 = 2,280,847.50/x
  3. Step 3: Cross multiply
    1,457,257.50x = 2,280,847.50 × 2,280,847.50
  4. Step 4: Simplify right side
    1,457,257.50x = 5,202,265,318,256.25
  5. Step 5: Solve for x
    x = 5,202,265,318,256.25/1,457,257.50
  6. Step 6: Final answer
    x = 3,569,901.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.