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Finding the Third Proportional to 725,280 and 1,579,596

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Solution

The third proportional to 725,280 and 1,579,596 is: 3,440,221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,280 : 1,579,596 = 1,579,596 : x
  2. Step 2: Convert to fraction form
    725,280/1,579,596 = 1,579,596/x
  3. Step 3: Cross multiply
    725,280x = 1,579,596 × 1,579,596
  4. Step 4: Simplify right side
    725,280x = 2,495,123,523,216
  5. Step 5: Solve for x
    x = 2,495,123,523,216/725,280
  6. Step 6: Final answer
    x = 3,440,221.05

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