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Finding the Third Proportional to 1,834,038.06 and 4,022,370.13

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Solution

The third proportional to 1,834,038.06 and 4,022,370.13 is: 8,821,769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,038.06 : 4,022,370.13 = 4,022,370.13 : x
  2. Step 2: Convert to fraction form
    1,834,038.06/4,022,370.13 = 4,022,370.13/x
  3. Step 3: Cross multiply
    1,834,038.06x = 4,022,370.13 × 4,022,370.13
  4. Step 4: Simplify right side
    1,834,038.06x = 16,179,461,422,492.52
  5. Step 5: Solve for x
    x = 16,179,461,422,492.52/1,834,038.06
  6. Step 6: Final answer
    x = 8,821,769.71

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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.