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Finding the Third Proportional to 545,052,462 and 1,195,628,253

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Solution

The third proportional to 545,052,462 and 1,195,628,253 is: 2,622,732,707.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,052,462 : 1,195,628,253 = 1,195,628,253 : x
  2. Step 2: Convert to fraction form
    545,052,462/1,195,628,253 = 1,195,628,253/x
  3. Step 3: Cross multiply
    545,052,462x = 1,195,628,253 × 1,195,628,253
  4. Step 4: Simplify right side
    545,052,462x = 1,429,526,919,371,832,064
  5. Step 5: Solve for x
    x = 1,429,526,919,371,832,064/545,052,462
  6. Step 6: Final answer
    x = 2,622,732,707.47

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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.