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Finding the Third Proportional to 436,050 and 935,145

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Solution

The third proportional to 436,050 and 935,145 is: 2,005,495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,050 : 935,145 = 935,145 : x
  2. Step 2: Convert to fraction form
    436,050/935,145 = 935,145/x
  3. Step 3: Cross multiply
    436,050x = 935,145 × 935,145
  4. Step 4: Simplify right side
    436,050x = 874,496,171,025
  5. Step 5: Solve for x
    x = 874,496,171,025/436,050
  6. Step 6: Final answer
    x = 2,005,495.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.