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Finding the Third Proportional to 565,633 and 1,219,823

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Solution

The third proportional to 565,633 and 1,219,823 is: 2,630,624.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,633 : 1,219,823 = 1,219,823 : x
  2. Step 2: Convert to fraction form
    565,633/1,219,823 = 1,219,823/x
  3. Step 3: Cross multiply
    565,633x = 1,219,823 × 1,219,823
  4. Step 4: Simplify right side
    565,633x = 1,487,968,151,329
  5. Step 5: Solve for x
    x = 1,487,968,151,329/565,633
  6. Step 6: Final answer
    x = 2,630,624.72

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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.