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Finding the Third Proportional to 463,644 and 977,100

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Solution

The third proportional to 463,644 and 977,100 is: 2,059,175.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,644 : 977,100 = 977,100 : x
  2. Step 2: Convert to fraction form
    463,644/977,100 = 977,100/x
  3. Step 3: Cross multiply
    463,644x = 977,100 × 977,100
  4. Step 4: Simplify right side
    463,644x = 954,724,410,000
  5. Step 5: Solve for x
    x = 954,724,410,000/463,644
  6. Step 6: Final answer
    x = 2,059,175.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.