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Finding the Third Proportional to 463,887 and 988,524

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Solution

The third proportional to 463,887 and 988,524 is: 2,106,503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,887 : 988,524 = 988,524 : x
  2. Step 2: Convert to fraction form
    463,887/988,524 = 988,524/x
  3. Step 3: Cross multiply
    463,887x = 988,524 × 988,524
  4. Step 4: Simplify right side
    463,887x = 977,179,698,576
  5. Step 5: Solve for x
    x = 977,179,698,576/463,887
  6. Step 6: Final answer
    x = 2,106,503.74

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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.