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Finding the Third Proportional to 516,462 and 1,118,685

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Solution

The third proportional to 516,462 and 1,118,685 is: 2,423,133.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,462 : 1,118,685 = 1,118,685 : x
  2. Step 2: Convert to fraction form
    516,462/1,118,685 = 1,118,685/x
  3. Step 3: Cross multiply
    516,462x = 1,118,685 × 1,118,685
  4. Step 4: Simplify right side
    516,462x = 1,251,456,129,225
  5. Step 5: Solve for x
    x = 1,251,456,129,225/516,462
  6. Step 6: Final answer
    x = 2,423,133.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.