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Finding the Third Proportional to 453,401 and 992,986

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Solution

The third proportional to 453,401 and 992,986 is: 2,174,722.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,401 : 992,986 = 992,986 : x
  2. Step 2: Convert to fraction form
    453,401/992,986 = 992,986/x
  3. Step 3: Cross multiply
    453,401x = 992,986 × 992,986
  4. Step 4: Simplify right side
    453,401x = 986,021,196,196
  5. Step 5: Solve for x
    x = 986,021,196,196/453,401
  6. Step 6: Final answer
    x = 2,174,722.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.