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Finding the Third Proportional to 463,660 and 988,562

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Solution

The third proportional to 463,660 and 988,562 is: 2,107,697.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,660 : 988,562 = 988,562 : x
  2. Step 2: Convert to fraction form
    463,660/988,562 = 988,562/x
  3. Step 3: Cross multiply
    463,660x = 988,562 × 988,562
  4. Step 4: Simplify right side
    463,660x = 977,254,827,844
  5. Step 5: Solve for x
    x = 977,254,827,844/463,660
  6. Step 6: Final answer
    x = 2,107,697.08

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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.