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Finding the Third Proportional to 544,400 and 1,153,592

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Solution

The third proportional to 544,400 and 1,153,592 is: 2,444,479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,400 : 1,153,592 = 1,153,592 : x
  2. Step 2: Convert to fraction form
    544,400/1,153,592 = 1,153,592/x
  3. Step 3: Cross multiply
    544,400x = 1,153,592 × 1,153,592
  4. Step 4: Simplify right side
    544,400x = 1,330,774,502,464
  5. Step 5: Solve for x
    x = 1,330,774,502,464/544,400
  6. Step 6: Final answer
    x = 2,444,479.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.