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Finding the Third Proportional to 544,484 and 1,183,441

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Solution

The third proportional to 544,484 and 1,183,441 is: 2,572,219.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,484 : 1,183,441 = 1,183,441 : x
  2. Step 2: Convert to fraction form
    544,484/1,183,441 = 1,183,441/x
  3. Step 3: Cross multiply
    544,484x = 1,183,441 × 1,183,441
  4. Step 4: Simplify right side
    544,484x = 1,400,532,600,481
  5. Step 5: Solve for x
    x = 1,400,532,600,481/544,484
  6. Step 6: Final answer
    x = 2,572,219.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.