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Finding the Third Proportional to 1,164,849 and 2,491,623

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Solution

The third proportional to 1,164,849 and 2,491,623 is: 5,329,605.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,849 : 2,491,623 = 2,491,623 : x
  2. Step 2: Convert to fraction form
    1,164,849/2,491,623 = 2,491,623/x
  3. Step 3: Cross multiply
    1,164,849x = 2,491,623 × 2,491,623
  4. Step 4: Simplify right side
    1,164,849x = 6,208,185,174,129
  5. Step 5: Solve for x
    x = 6,208,185,174,129/1,164,849
  6. Step 6: Final answer
    x = 5,329,605.10

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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.