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Finding the Third Proportional to 453,406 and 992,996

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Solution

The third proportional to 453,406 and 992,996 is: 2,174,741.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,406 : 992,996 = 992,996 : x
  2. Step 2: Convert to fraction form
    453,406/992,996 = 992,996/x
  3. Step 3: Cross multiply
    453,406x = 992,996 × 992,996
  4. Step 4: Simplify right side
    453,406x = 986,041,056,016
  5. Step 5: Solve for x
    x = 986,041,056,016/453,406
  6. Step 6: Final answer
    x = 2,174,741.97

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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.