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Finding the Third Proportional to 1,633,972.50 and 3,590,487

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Solution

The third proportional to 1,633,972.50 and 3,590,487 is: 7,889,726.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633,972.50 : 3,590,487 = 3,590,487 : x
  2. Step 2: Convert to fraction form
    1,633,972.50/3,590,487 = 3,590,487/x
  3. Step 3: Cross multiply
    1,633,972.50x = 3,590,487 × 3,590,487
  4. Step 4: Simplify right side
    1,633,972.50x = 12,891,596,897,169
  5. Step 5: Solve for x
    x = 12,891,596,897,169/1,633,972.50
  6. Step 6: Final answer
    x = 7,889,726.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.