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Finding the Third Proportional to 545,052,466 and 1,195,628,261

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Solution

The third proportional to 545,052,466 and 1,195,628,261 is: 2,622,732,723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,052,466 : 1,195,628,261 = 1,195,628,261 : x
  2. Step 2: Convert to fraction form
    545,052,466/1,195,628,261 = 1,195,628,261/x
  3. Step 3: Cross multiply
    545,052,466x = 1,195,628,261 × 1,195,628,261
  4. Step 4: Simplify right side
    545,052,466x = 1,429,526,938,501,884,160
  5. Step 5: Solve for x
    x = 1,429,526,938,501,884,160/545,052,466
  6. Step 6: Final answer
    x = 2,622,732,723.32

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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.