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Finding the Third Proportional to 565,532 and 1,219,607

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Solution

The third proportional to 565,532 and 1,219,607 is: 2,630,162.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,532 : 1,219,607 = 1,219,607 : x
  2. Step 2: Convert to fraction form
    565,532/1,219,607 = 1,219,607/x
  3. Step 3: Cross multiply
    565,532x = 1,219,607 × 1,219,607
  4. Step 4: Simplify right side
    565,532x = 1,487,441,234,449
  5. Step 5: Solve for x
    x = 1,487,441,234,449/565,532
  6. Step 6: Final answer
    x = 2,630,162.81

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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.