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Finding the Third Proportional to 459,725 and 974,736

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Solution

The third proportional to 459,725 and 974,736 is: 2,066,692.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,725 : 974,736 = 974,736 : x
  2. Step 2: Convert to fraction form
    459,725/974,736 = 974,736/x
  3. Step 3: Cross multiply
    459,725x = 974,736 × 974,736
  4. Step 4: Simplify right side
    459,725x = 950,110,269,696
  5. Step 5: Solve for x
    x = 950,110,269,696/459,725
  6. Step 6: Final answer
    x = 2,066,692.63

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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.