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Finding the Third Proportional to 544,664 and 1,196,842

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Solution

The third proportional to 544,664 and 1,196,842 is: 2,629,934.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,664 : 1,196,842 = 1,196,842 : x
  2. Step 2: Convert to fraction form
    544,664/1,196,842 = 1,196,842/x
  3. Step 3: Cross multiply
    544,664x = 1,196,842 × 1,196,842
  4. Step 4: Simplify right side
    544,664x = 1,432,430,772,964
  5. Step 5: Solve for x
    x = 1,432,430,772,964/544,664
  6. Step 6: Final answer
    x = 2,629,934.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.