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Finding the Third Proportional to 565,617 and 1,219,793

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Solution

The third proportional to 565,617 and 1,219,793 is: 2,630,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,617 : 1,219,793 = 1,219,793 : x
  2. Step 2: Convert to fraction form
    565,617/1,219,793 = 1,219,793/x
  3. Step 3: Cross multiply
    565,617x = 1,219,793 × 1,219,793
  4. Step 4: Simplify right side
    565,617x = 1,487,894,962,849
  5. Step 5: Solve for x
    x = 1,487,894,962,849/565,617
  6. Step 6: Final answer
    x = 2,630,569.74

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Why These Related Problems?

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