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Finding the Third Proportional to 545,160,160 and 1,190,231,226

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Solution

The third proportional to 545,160,160 and 1,190,231,226 is: 2,598,594,826.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,160,160 : 1,190,231,226 = 1,190,231,226 : x
  2. Step 2: Convert to fraction form
    545,160,160/1,190,231,226 = 1,190,231,226/x
  3. Step 3: Cross multiply
    545,160,160x = 1,190,231,226 × 1,190,231,226
  4. Step 4: Simplify right side
    545,160,160x = 1,416,650,371,345,463,040
  5. Step 5: Solve for x
    x = 1,416,650,371,345,463,040/545,160,160
  6. Step 6: Final answer
    x = 2,598,594,826.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.