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Finding the Third Proportional to 429,150 and 913,740

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Solution

The third proportional to 429,150 and 913,740 is: 1,945,522.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,150 : 913,740 = 913,740 : x
  2. Step 2: Convert to fraction form
    429,150/913,740 = 913,740/x
  3. Step 3: Cross multiply
    429,150x = 913,740 × 913,740
  4. Step 4: Simplify right side
    429,150x = 834,920,787,600
  5. Step 5: Solve for x
    x = 834,920,787,600/429,150
  6. Step 6: Final answer
    x = 1,945,522.05

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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.