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Finding the Third Proportional to 1,464,805.90 and 3,208,890.94

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Solution

The third proportional to 1,464,805.90 and 3,208,890.94 is: 7,029,587.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464,805.90 : 3,208,890.94 = 3,208,890.94 : x
  2. Step 2: Convert to fraction form
    1,464,805.90/3,208,890.94 = 3,208,890.94/x
  3. Step 3: Cross multiply
    1,464,805.90x = 3,208,890.94 × 3,208,890.94
  4. Step 4: Simplify right side
    1,464,805.90x = 10,296,981,048,769.63
  5. Step 5: Solve for x
    x = 10,296,981,048,769.63/1,464,805.90
  6. Step 6: Final answer
    x = 7,029,587.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.