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Finding the Third Proportional to 1,465,843.50 and 2,242,362

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Solution

The third proportional to 1,465,843.50 and 2,242,362 is: 3,430,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465,843.50 : 2,242,362 = 2,242,362 : x
  2. Step 2: Convert to fraction form
    1,465,843.50/2,242,362 = 2,242,362/x
  3. Step 3: Cross multiply
    1,465,843.50x = 2,242,362 × 2,242,362
  4. Step 4: Simplify right side
    1,465,843.50x = 5,028,187,339,044
  5. Step 5: Solve for x
    x = 5,028,187,339,044/1,465,843.50
  6. Step 6: Final answer
    x = 3,430,234.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.