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Finding the Third Proportional to 407,457,539 and 883,819,661

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Solution

The third proportional to 407,457,539 and 883,819,661 is: 1,917,100,847.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,457,539 : 883,819,661 = 883,819,661 : x
  2. Step 2: Convert to fraction form
    407,457,539/883,819,661 = 883,819,661/x
  3. Step 3: Cross multiply
    407,457,539x = 883,819,661 × 883,819,661
  4. Step 4: Simplify right side
    407,457,539x = 781,137,193,170,154,880
  5. Step 5: Solve for x
    x = 781,137,193,170,154,880/407,457,539
  6. Step 6: Final answer
    x = 1,917,100,847.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.