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Finding the Third Proportional to 2,044,446.75 and 4,460,199.75

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Solution

The third proportional to 2,044,446.75 and 4,460,199.75 is: 9,730,447.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044,446.75 : 4,460,199.75 = 4,460,199.75 : x
  2. Step 2: Convert to fraction form
    2,044,446.75/4,460,199.75 = 4,460,199.75/x
  3. Step 3: Cross multiply
    2,044,446.75x = 4,460,199.75 × 4,460,199.75
  4. Step 4: Simplify right side
    2,044,446.75x = 19,893,381,809,900.06
  5. Step 5: Solve for x
    x = 19,893,381,809,900.06/2,044,446.75
  6. Step 6: Final answer
    x = 9,730,447.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.