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Finding the Third Proportional to 453,602.25 and 974,445.75

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Solution

The third proportional to 453,602.25 and 974,445.75 is: 2,093,341.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,602.25 : 974,445.75 = 974,445.75 : x
  2. Step 2: Convert to fraction form
    453,602.25/974,445.75 = 974,445.75/x
  3. Step 3: Cross multiply
    453,602.25x = 974,445.75 × 974,445.75
  4. Step 4: Simplify right side
    453,602.25x = 949,544,519,693.06
  5. Step 5: Solve for x
    x = 949,544,519,693.06/453,602.25
  6. Step 6: Final answer
    x = 2,093,341.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.