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Finding the Third Proportional to 493,226,916 and 1,073,281,296

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Solution

The third proportional to 493,226,916 and 1,073,281,296 is: 2,335,502,591.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,226,916 : 1,073,281,296 = 1,073,281,296 : x
  2. Step 2: Convert to fraction form
    493,226,916/1,073,281,296 = 1,073,281,296/x
  3. Step 3: Cross multiply
    493,226,916x = 1,073,281,296 × 1,073,281,296
  4. Step 4: Simplify right side
    493,226,916x = 1,151,932,740,343,439,616
  5. Step 5: Solve for x
    x = 1,151,932,740,343,439,616/493,226,916
  6. Step 6: Final answer
    x = 2,335,502,591.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.