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Finding the Third Proportional to 463,624.13 and 977,063.25

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Solution

The third proportional to 463,624.13 and 977,063.25 is: 2,059,108.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,624.13 : 977,063.25 = 977,063.25 : x
  2. Step 2: Convert to fraction form
    463,624.13/977,063.25 = 977,063.25/x
  3. Step 3: Cross multiply
    463,624.13x = 977,063.25 × 977,063.25
  4. Step 4: Simplify right side
    463,624.13x = 954,652,594,500.56
  5. Step 5: Solve for x
    x = 954,652,594,500.56/463,624.13
  6. Step 6: Final answer
    x = 2,059,108.97

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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.