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Finding the Third Proportional to 1,883,444.50 and 4,087,969.75

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Solution

The third proportional to 1,883,444.50 and 4,087,969.75 is: 8,872,837.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883,444.50 : 4,087,969.75 = 4,087,969.75 : x
  2. Step 2: Convert to fraction form
    1,883,444.50/4,087,969.75 = 4,087,969.75/x
  3. Step 3: Cross multiply
    1,883,444.50x = 4,087,969.75 × 4,087,969.75
  4. Step 4: Simplify right side
    1,883,444.50x = 16,711,496,676,915.06
  5. Step 5: Solve for x
    x = 16,711,496,676,915.06/1,883,444.50
  6. Step 6: Final answer
    x = 8,872,837.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.