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Finding the Third Proportional to 536,139 and 1,154,652

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Solution

The third proportional to 536,139 and 1,154,652 is: 2,486,708.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,139 : 1,154,652 = 1,154,652 : x
  2. Step 2: Convert to fraction form
    536,139/1,154,652 = 1,154,652/x
  3. Step 3: Cross multiply
    536,139x = 1,154,652 × 1,154,652
  4. Step 4: Simplify right side
    536,139x = 1,333,221,241,104
  5. Step 5: Solve for x
    x = 1,333,221,241,104/536,139
  6. Step 6: Final answer
    x = 2,486,708.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.