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Finding the Third Proportional to 453,586 and 974,414

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Solution

The third proportional to 453,586 and 974,414 is: 2,093,280.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,586 : 974,414 = 974,414 : x
  2. Step 2: Convert to fraction form
    453,586/974,414 = 974,414/x
  3. Step 3: Cross multiply
    453,586x = 974,414 × 974,414
  4. Step 4: Simplify right side
    453,586x = 949,482,643,396
  5. Step 5: Solve for x
    x = 949,482,643,396/453,586
  6. Step 6: Final answer
    x = 2,093,280.31

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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.