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Finding the Third Proportional to 728,236 and 1,114,524

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Solution

The third proportional to 728,236 and 1,114,524 is: 1,705,715.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,236 : 1,114,524 = 1,114,524 : x
  2. Step 2: Convert to fraction form
    728,236/1,114,524 = 1,114,524/x
  3. Step 3: Cross multiply
    728,236x = 1,114,524 × 1,114,524
  4. Step 4: Simplify right side
    728,236x = 1,242,163,746,576
  5. Step 5: Solve for x
    x = 1,242,163,746,576/728,236
  6. Step 6: Final answer
    x = 1,705,715.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.