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Finding the Third Proportional to 516,450 and 1,118,658

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Solution

The third proportional to 516,450 and 1,118,658 is: 2,423,072.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,450 : 1,118,658 = 1,118,658 : x
  2. Step 2: Convert to fraction form
    516,450/1,118,658 = 1,118,658/x
  3. Step 3: Cross multiply
    516,450x = 1,118,658 × 1,118,658
  4. Step 4: Simplify right side
    516,450x = 1,251,395,720,964
  5. Step 5: Solve for x
    x = 1,251,395,720,964/516,450
  6. Step 6: Final answer
    x = 2,423,072.36

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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.