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Finding the Third Proportional to 544,311 and 1,153,511

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Solution

The third proportional to 544,311 and 1,153,511 is: 2,444,535.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,311 : 1,153,511 = 1,153,511 : x
  2. Step 2: Convert to fraction form
    544,311/1,153,511 = 1,153,511/x
  3. Step 3: Cross multiply
    544,311x = 1,153,511 × 1,153,511
  4. Step 4: Simplify right side
    544,311x = 1,330,587,627,121
  5. Step 5: Solve for x
    x = 1,330,587,627,121/544,311
  6. Step 6: Final answer
    x = 2,444,535.62

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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.