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Finding the Third Proportional to 463,913 and 988,573

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Solution

The third proportional to 463,913 and 988,573 is: 2,106,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,913 : 988,573 = 988,573 : x
  2. Step 2: Convert to fraction form
    463,913/988,573 = 988,573/x
  3. Step 3: Cross multiply
    463,913x = 988,573 × 988,573
  4. Step 4: Simplify right side
    463,913x = 977,276,576,329
  5. Step 5: Solve for x
    x = 977,276,576,329/463,913
  6. Step 6: Final answer
    x = 2,106,594.50

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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.