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Finding the Third Proportional to 818,772 and 1,204,752

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Solution

The third proportional to 818,772 and 1,204,752 is: 1,772,688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,772 : 1,204,752 = 1,204,752 : x
  2. Step 2: Convert to fraction form
    818,772/1,204,752 = 1,204,752/x
  3. Step 3: Cross multiply
    818,772x = 1,204,752 × 1,204,752
  4. Step 4: Simplify right side
    818,772x = 1,451,427,381,504
  5. Step 5: Solve for x
    x = 1,451,427,381,504/818,772
  6. Step 6: Final answer
    x = 1,772,688.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.