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Finding the Third Proportional to 422,784,240 and 928,709,472

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Solution

The third proportional to 422,784,240 and 928,709,472 is: 2,040,050,696.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,784,240 : 928,709,472 = 928,709,472 : x
  2. Step 2: Convert to fraction form
    422,784,240/928,709,472 = 928,709,472/x
  3. Step 3: Cross multiply
    422,784,240x = 928,709,472 × 928,709,472
  4. Step 4: Simplify right side
    422,784,240x = 862,501,283,382,518,784
  5. Step 5: Solve for x
    x = 862,501,283,382,518,784/422,784,240
  6. Step 6: Final answer
    x = 2,040,050,696.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.