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Finding the Third Proportional to 459,400 and 974,456

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Solution

The third proportional to 459,400 and 974,456 is: 2,066,966.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,400 : 974,456 = 974,456 : x
  2. Step 2: Convert to fraction form
    459,400/974,456 = 974,456/x
  3. Step 3: Cross multiply
    459,400x = 974,456 × 974,456
  4. Step 4: Simplify right side
    459,400x = 949,564,495,936
  5. Step 5: Solve for x
    x = 949,564,495,936/459,400
  6. Step 6: Final answer
    x = 2,066,966.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.