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Finding the Third Proportional to 565,642 and 1,219,844

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Solution

The third proportional to 565,642 and 1,219,844 is: 2,630,673.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,642 : 1,219,844 = 1,219,844 : x
  2. Step 2: Convert to fraction form
    565,642/1,219,844 = 1,219,844/x
  3. Step 3: Cross multiply
    565,642x = 1,219,844 × 1,219,844
  4. Step 4: Simplify right side
    565,642x = 1,488,019,384,336
  5. Step 5: Solve for x
    x = 1,488,019,384,336/565,642
  6. Step 6: Final answer
    x = 2,630,673.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.