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Finding the Third Proportional to 725,541 and 1,686,457.50

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Solution

The third proportional to 725,541 and 1,686,457.50 is: 3,920,025.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,541 : 1,686,457.50 = 1,686,457.50 : x
  2. Step 2: Convert to fraction form
    725,541/1,686,457.50 = 1,686,457.50/x
  3. Step 3: Cross multiply
    725,541x = 1,686,457.50 × 1,686,457.50
  4. Step 4: Simplify right side
    725,541x = 2,844,138,899,306.25
  5. Step 5: Solve for x
    x = 2,844,138,899,306.25/725,541
  6. Step 6: Final answer
    x = 3,920,025.06

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.