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Finding the Third Proportional to 437,112,961 and 891,784,709

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Solution

The third proportional to 437,112,961 and 891,784,709 is: 1,819,392,326.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,112,961 : 891,784,709 = 891,784,709 : x
  2. Step 2: Convert to fraction form
    437,112,961/891,784,709 = 891,784,709/x
  3. Step 3: Cross multiply
    437,112,961x = 891,784,709 × 891,784,709
  4. Step 4: Simplify right side
    437,112,961x = 795,279,967,206,214,656
  5. Step 5: Solve for x
    x = 795,279,967,206,214,656/437,112,961
  6. Step 6: Final answer
    x = 1,819,392,326.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.