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Finding the Third Proportional to 420,669 and 912,315

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Solution

The third proportional to 420,669 and 912,315 is: 1,978,559.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,669 : 912,315 = 912,315 : x
  2. Step 2: Convert to fraction form
    420,669/912,315 = 912,315/x
  3. Step 3: Cross multiply
    420,669x = 912,315 × 912,315
  4. Step 4: Simplify right side
    420,669x = 832,318,659,225
  5. Step 5: Solve for x
    x = 832,318,659,225/420,669
  6. Step 6: Final answer
    x = 1,978,559.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.