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Finding the Third Proportional to 569,480 and 1,191,324

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Solution

The third proportional to 569,480 and 1,191,324 is: 2,492,190.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,480 : 1,191,324 = 1,191,324 : x
  2. Step 2: Convert to fraction form
    569,480/1,191,324 = 1,191,324/x
  3. Step 3: Cross multiply
    569,480x = 1,191,324 × 1,191,324
  4. Step 4: Simplify right side
    569,480x = 1,419,252,872,976
  5. Step 5: Solve for x
    x = 1,419,252,872,976/569,480
  6. Step 6: Final answer
    x = 2,492,190.90

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.