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Finding the Third Proportional to 422,784,276 and 928,709,544

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Solution

The third proportional to 422,784,276 and 928,709,544 is: 2,040,050,839.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,784,276 : 928,709,544 = 928,709,544 : x
  2. Step 2: Convert to fraction form
    422,784,276/928,709,544 = 928,709,544/x
  3. Step 3: Cross multiply
    422,784,276x = 928,709,544 × 928,709,544
  4. Step 4: Simplify right side
    422,784,276x = 862,501,417,116,687,872
  5. Step 5: Solve for x
    x = 862,501,417,116,687,872/422,784,276
  6. Step 6: Final answer
    x = 2,040,050,839.35

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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.