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Finding the Third Proportional to 539,893 and 1,181,176

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Solution

The third proportional to 539,893 and 1,181,176 is: 2,584,172.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,893 : 1,181,176 = 1,181,176 : x
  2. Step 2: Convert to fraction form
    539,893/1,181,176 = 1,181,176/x
  3. Step 3: Cross multiply
    539,893x = 1,181,176 × 1,181,176
  4. Step 4: Simplify right side
    539,893x = 1,395,176,742,976
  5. Step 5: Solve for x
    x = 1,395,176,742,976/539,893
  6. Step 6: Final answer
    x = 2,584,172.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.