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Finding the Third Proportional to 1,035,103.50 and 2,252,457

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Solution

The third proportional to 1,035,103.50 and 2,252,457 is: 4,901,502.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,103.50 : 2,252,457 = 2,252,457 : x
  2. Step 2: Convert to fraction form
    1,035,103.50/2,252,457 = 2,252,457/x
  3. Step 3: Cross multiply
    1,035,103.50x = 2,252,457 × 2,252,457
  4. Step 4: Simplify right side
    1,035,103.50x = 5,073,562,536,849
  5. Step 5: Solve for x
    x = 5,073,562,536,849/1,035,103.50
  6. Step 6: Final answer
    x = 4,901,502.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.