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Finding the Third Proportional to 459,340 and 974,272

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Solution

The third proportional to 459,340 and 974,272 is: 2,066,456.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,340 : 974,272 = 974,272 : x
  2. Step 2: Convert to fraction form
    459,340/974,272 = 974,272/x
  3. Step 3: Cross multiply
    459,340x = 974,272 × 974,272
  4. Step 4: Simplify right side
    459,340x = 949,205,929,984
  5. Step 5: Solve for x
    x = 949,205,929,984/459,340
  6. Step 6: Final answer
    x = 2,066,456.07

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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.