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Finding the Third Proportional to 463,902 and 988,554

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Solution

The third proportional to 463,902 and 988,554 is: 2,106,563.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,902 : 988,554 = 988,554 : x
  2. Step 2: Convert to fraction form
    463,902/988,554 = 988,554/x
  3. Step 3: Cross multiply
    463,902x = 988,554 × 988,554
  4. Step 4: Simplify right side
    463,902x = 977,239,010,916
  5. Step 5: Solve for x
    x = 977,239,010,916/463,902
  6. Step 6: Final answer
    x = 2,106,563.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.