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Finding the Third Proportional to 565,628 and 1,219,814

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Solution

The third proportional to 565,628 and 1,219,814 is: 2,630,609.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,628 : 1,219,814 = 1,219,814 : x
  2. Step 2: Convert to fraction form
    565,628/1,219,814 = 1,219,814/x
  3. Step 3: Cross multiply
    565,628x = 1,219,814 × 1,219,814
  4. Step 4: Simplify right side
    565,628x = 1,487,946,194,596
  5. Step 5: Solve for x
    x = 1,487,946,194,596/565,628
  6. Step 6: Final answer
    x = 2,630,609.15

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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.