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Finding the Third Proportional to 539,961 and 1,166,511

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Solution

The third proportional to 539,961 and 1,166,511 is: 2,520,085.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,961 : 1,166,511 = 1,166,511 : x
  2. Step 2: Convert to fraction form
    539,961/1,166,511 = 1,166,511/x
  3. Step 3: Cross multiply
    539,961x = 1,166,511 × 1,166,511
  4. Step 4: Simplify right side
    539,961x = 1,360,747,913,121
  5. Step 5: Solve for x
    x = 1,360,747,913,121/539,961
  6. Step 6: Final answer
    x = 2,520,085.55

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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.