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Finding the Third Proportional to 1,824,916.50 and 3,765,492

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Solution

The third proportional to 1,824,916.50 and 3,765,492 is: 7,769,632.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824,916.50 : 3,765,492 = 3,765,492 : x
  2. Step 2: Convert to fraction form
    1,824,916.50/3,765,492 = 3,765,492/x
  3. Step 3: Cross multiply
    1,824,916.50x = 3,765,492 × 3,765,492
  4. Step 4: Simplify right side
    1,824,916.50x = 14,178,930,002,064
  5. Step 5: Solve for x
    x = 14,178,930,002,064/1,824,916.50
  6. Step 6: Final answer
    x = 7,769,632.20

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.