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Finding the Third Proportional to 544,320 and 1,176,264

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Solution

The third proportional to 544,320 and 1,176,264 is: 2,541,881.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,320 : 1,176,264 = 1,176,264 : x
  2. Step 2: Convert to fraction form
    544,320/1,176,264 = 1,176,264/x
  3. Step 3: Cross multiply
    544,320x = 1,176,264 × 1,176,264
  4. Step 4: Simplify right side
    544,320x = 1,383,596,997,696
  5. Step 5: Solve for x
    x = 1,383,596,997,696/544,320
  6. Step 6: Final answer
    x = 2,541,881.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.