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Finding the Third Proportional to 442,969,784 and 954,095,200

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Solution

The third proportional to 442,969,784 and 954,095,200 is: 2,054,988,135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,969,784 : 954,095,200 = 954,095,200 : x
  2. Step 2: Convert to fraction form
    442,969,784/954,095,200 = 954,095,200/x
  3. Step 3: Cross multiply
    442,969,784x = 954,095,200 × 954,095,200
  4. Step 4: Simplify right side
    442,969,784x = 910,297,650,663,040,000
  5. Step 5: Solve for x
    x = 910,297,650,663,040,000/442,969,784
  6. Step 6: Final answer
    x = 2,054,988,135.86

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Why These Related Problems?

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