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Finding the Third Proportional to 683,543.81 and 1,472,261.06

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Solution

The third proportional to 683,543.81 and 1,472,261.06 is: 3,171,051.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,543.81 : 1,472,261.06 = 1,472,261.06 : x
  2. Step 2: Convert to fraction form
    683,543.81/1,472,261.06 = 1,472,261.06/x
  3. Step 3: Cross multiply
    683,543.81x = 1,472,261.06 × 1,472,261.06
  4. Step 4: Simplify right side
    683,543.81x = 2,167,552,636,153.63
  5. Step 5: Solve for x
    x = 2,167,552,636,153.63/683,543.81
  6. Step 6: Final answer
    x = 3,171,051.51

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.