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Finding the Third Proportional to 403,869,984.75 and 884,353,893.75

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Solution

The third proportional to 403,869,984.75 and 884,353,893.75 is: 1,936,469,257.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,869,984.75 : 884,353,893.75 = 884,353,893.75 : x
  2. Step 2: Convert to fraction form
    403,869,984.75/884,353,893.75 = 884,353,893.75/x
  3. Step 3: Cross multiply
    403,869,984.75x = 884,353,893.75 × 884,353,893.75
  4. Step 4: Simplify right side
    403,869,984.75x = 782,081,809,390,786,304
  5. Step 5: Solve for x
    x = 782,081,809,390,786,304/403,869,984.75
  6. Step 6: Final answer
    x = 1,936,469,257.24

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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.