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Finding the Third Proportional to 461,953.13 and 987,744.38

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Solution

The third proportional to 461,953.13 and 987,744.38 is: 2,111,986.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,953.13 : 987,744.38 = 987,744.38 : x
  2. Step 2: Convert to fraction form
    461,953.13/987,744.38 = 987,744.38/x
  3. Step 3: Cross multiply
    461,953.13x = 987,744.38 × 987,744.38
  4. Step 4: Simplify right side
    461,953.13x = 975,638,950,344.14
  5. Step 5: Solve for x
    x = 975,638,950,344.14/461,953.13
  6. Step 6: Final answer
    x = 2,111,986.90

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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.