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Finding the Third Proportional to 568,461 and 1,222,944

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Solution

The third proportional to 568,461 and 1,222,944 is: 2,630,949.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,461 : 1,222,944 = 1,222,944 : x
  2. Step 2: Convert to fraction form
    568,461/1,222,944 = 1,222,944/x
  3. Step 3: Cross multiply
    568,461x = 1,222,944 × 1,222,944
  4. Step 4: Simplify right side
    568,461x = 1,495,592,027,136
  5. Step 5: Solve for x
    x = 1,495,592,027,136/568,461
  6. Step 6: Final answer
    x = 2,630,949.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.