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Finding the Third Proportional to 544,720 and 840,048

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Solution

The third proportional to 544,720 and 840,048 is: 1,295,492.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,720 : 840,048 = 840,048 : x
  2. Step 2: Convert to fraction form
    544,720/840,048 = 840,048/x
  3. Step 3: Cross multiply
    544,720x = 840,048 × 840,048
  4. Step 4: Simplify right side
    544,720x = 705,680,642,304
  5. Step 5: Solve for x
    x = 705,680,642,304/544,720
  6. Step 6: Final answer
    x = 1,295,492.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.