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Finding the Third Proportional to 728,262 and 1,491,508

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Solution

The third proportional to 728,262 and 1,491,508 is: 3,054,664.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,262 : 1,491,508 = 1,491,508 : x
  2. Step 2: Convert to fraction form
    728,262/1,491,508 = 1,491,508/x
  3. Step 3: Cross multiply
    728,262x = 1,491,508 × 1,491,508
  4. Step 4: Simplify right side
    728,262x = 2,224,596,114,064
  5. Step 5: Solve for x
    x = 2,224,596,114,064/728,262
  6. Step 6: Final answer
    x = 3,054,664.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.