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Finding the Third Proportional to 463,704 and 977,220

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Solution

The third proportional to 463,704 and 977,220 is: 2,059,414.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,704 : 977,220 = 977,220 : x
  2. Step 2: Convert to fraction form
    463,704/977,220 = 977,220/x
  3. Step 3: Cross multiply
    463,704x = 977,220 × 977,220
  4. Step 4: Simplify right side
    463,704x = 954,958,928,400
  5. Step 5: Solve for x
    x = 954,958,928,400/463,704
  6. Step 6: Final answer
    x = 2,059,414.90

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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.