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Finding the Third Proportional to 1,164,968 and 2,491,904

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Solution

The third proportional to 1,164,968 and 2,491,904 is: 5,330,262.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,968 : 2,491,904 = 2,491,904 : x
  2. Step 2: Convert to fraction form
    1,164,968/2,491,904 = 2,491,904/x
  3. Step 3: Cross multiply
    1,164,968x = 2,491,904 × 2,491,904
  4. Step 4: Simplify right side
    1,164,968x = 6,209,585,545,216
  5. Step 5: Solve for x
    x = 6,209,585,545,216/1,164,968
  6. Step 6: Final answer
    x = 5,330,262.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.