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Finding the Third Proportional to 463,904 and 988,560

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Solution

The third proportional to 463,904 and 988,560 is: 2,106,579.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,904 : 988,560 = 988,560 : x
  2. Step 2: Convert to fraction form
    463,904/988,560 = 988,560/x
  3. Step 3: Cross multiply
    463,904x = 988,560 × 988,560
  4. Step 4: Simplify right side
    463,904x = 977,250,873,600
  5. Step 5: Solve for x
    x = 977,250,873,600/463,904
  6. Step 6: Final answer
    x = 2,106,579.97

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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.