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Finding the Third Proportional to 1,664,470 and 3,581,744

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Solution

The third proportional to 1,664,470 and 3,581,744 is: 7,707,492.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664,470 : 3,581,744 = 3,581,744 : x
  2. Step 2: Convert to fraction form
    1,664,470/3,581,744 = 3,581,744/x
  3. Step 3: Cross multiply
    1,664,470x = 3,581,744 × 3,581,744
  4. Step 4: Simplify right side
    1,664,470x = 12,828,890,081,536
  5. Step 5: Solve for x
    x = 12,828,890,081,536/1,664,470
  6. Step 6: Final answer
    x = 7,707,492.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.