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Finding the Third Proportional to 532,411 and 1,154,652

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Solution

The third proportional to 532,411 and 1,154,652 is: 2,504,120.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,411 : 1,154,652 = 1,154,652 : x
  2. Step 2: Convert to fraction form
    532,411/1,154,652 = 1,154,652/x
  3. Step 3: Cross multiply
    532,411x = 1,154,652 × 1,154,652
  4. Step 4: Simplify right side
    532,411x = 1,333,221,241,104
  5. Step 5: Solve for x
    x = 1,333,221,241,104/532,411
  6. Step 6: Final answer
    x = 2,504,120.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.