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Finding the Third Proportional to 430,860 and 948,552

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Solution

The third proportional to 430,860 and 948,552 is: 2,088,267.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,860 : 948,552 = 948,552 : x
  2. Step 2: Convert to fraction form
    430,860/948,552 = 948,552/x
  3. Step 3: Cross multiply
    430,860x = 948,552 × 948,552
  4. Step 4: Simplify right side
    430,860x = 899,750,896,704
  5. Step 5: Solve for x
    x = 899,750,896,704/430,860
  6. Step 6: Final answer
    x = 2,088,267.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.