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Finding the Third Proportional to 420,416 and 934,144

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Solution

The third proportional to 420,416 and 934,144 is: 2,075,622.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,416 : 934,144 = 934,144 : x
  2. Step 2: Convert to fraction form
    420,416/934,144 = 934,144/x
  3. Step 3: Cross multiply
    420,416x = 934,144 × 934,144
  4. Step 4: Simplify right side
    420,416x = 872,625,012,736
  5. Step 5: Solve for x
    x = 872,625,012,736/420,416
  6. Step 6: Final answer
    x = 2,075,622.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.