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Finding the Third Proportional to 518,968 and 1,117,964

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Solution

The third proportional to 518,968 and 1,117,964 is: 2,408,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,968 : 1,117,964 = 1,117,964 : x
  2. Step 2: Convert to fraction form
    518,968/1,117,964 = 1,117,964/x
  3. Step 3: Cross multiply
    518,968x = 1,117,964 × 1,117,964
  4. Step 4: Simplify right side
    518,968x = 1,249,843,505,296
  5. Step 5: Solve for x
    x = 1,249,843,505,296/518,968
  6. Step 6: Final answer
    x = 2,408,324.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.