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Finding the Third Proportional to 459,750 and 974,232

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Solution

The third proportional to 459,750 and 974,232 is: 2,064,443.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,750 : 974,232 = 974,232 : x
  2. Step 2: Convert to fraction form
    459,750/974,232 = 974,232/x
  3. Step 3: Cross multiply
    459,750x = 974,232 × 974,232
  4. Step 4: Simplify right side
    459,750x = 949,127,989,824
  5. Step 5: Solve for x
    x = 949,127,989,824/459,750
  6. Step 6: Final answer
    x = 2,064,443.70

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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.