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Finding the Third Proportional to 1,025,755.88 and 2,374,441.88

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Solution

The third proportional to 1,025,755.88 and 2,374,441.88 is: 5,496,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,755.88 : 2,374,441.88 = 2,374,441.88 : x
  2. Step 2: Convert to fraction form
    1,025,755.88/2,374,441.88 = 2,374,441.88/x
  3. Step 3: Cross multiply
    1,025,755.88x = 2,374,441.88 × 2,374,441.88
  4. Step 4: Simplify right side
    1,025,755.88x = 5,637,974,217,753.52
  5. Step 5: Solve for x
    x = 5,637,974,217,753.52/1,025,755.88
  6. Step 6: Final answer
    x = 5,496,409.38

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.