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Finding the Third Proportional to 459,404 and 974,464

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Solution

The third proportional to 459,404 and 974,464 is: 2,066,982.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,404 : 974,464 = 974,464 : x
  2. Step 2: Convert to fraction form
    459,404/974,464 = 974,464/x
  3. Step 3: Cross multiply
    459,404x = 974,464 × 974,464
  4. Step 4: Simplify right side
    459,404x = 949,580,087,296
  5. Step 5: Solve for x
    x = 949,580,087,296/459,404
  6. Step 6: Final answer
    x = 2,066,982.63

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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.