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Finding the Third Proportional to 459,738 and 974,208

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Solution

The third proportional to 459,738 and 974,208 is: 2,064,395.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,738 : 974,208 = 974,208 : x
  2. Step 2: Convert to fraction form
    459,738/974,208 = 974,208/x
  3. Step 3: Cross multiply
    459,738x = 974,208 × 974,208
  4. Step 4: Simplify right side
    459,738x = 949,081,227,264
  5. Step 5: Solve for x
    x = 949,081,227,264/459,738
  6. Step 6: Final answer
    x = 2,064,395.87

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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.