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Finding the Third Proportional to 565,419 and 1,219,410

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Solution

The third proportional to 565,419 and 1,219,410 is: 2,629,838.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,419 : 1,219,410 = 1,219,410 : x
  2. Step 2: Convert to fraction form
    565,419/1,219,410 = 1,219,410/x
  3. Step 3: Cross multiply
    565,419x = 1,219,410 × 1,219,410
  4. Step 4: Simplify right side
    565,419x = 1,486,960,748,100
  5. Step 5: Solve for x
    x = 1,486,960,748,100/565,419
  6. Step 6: Final answer
    x = 2,629,838.66

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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.