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Finding the Third Proportional to 1,584,285.75 and 3,421,116

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Solution

The third proportional to 1,584,285.75 and 3,421,116 is: 7,387,578.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,285.75 : 3,421,116 = 3,421,116 : x
  2. Step 2: Convert to fraction form
    1,584,285.75/3,421,116 = 3,421,116/x
  3. Step 3: Cross multiply
    1,584,285.75x = 3,421,116 × 3,421,116
  4. Step 4: Simplify right side
    1,584,285.75x = 11,704,034,685,456
  5. Step 5: Solve for x
    x = 11,704,034,685,456/1,584,285.75
  6. Step 6: Final answer
    x = 7,387,578.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.