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Finding the Third Proportional to 421,460 and 918,664

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Solution

The third proportional to 421,460 and 918,664 is: 2,002,428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,460 : 918,664 = 918,664 : x
  2. Step 2: Convert to fraction form
    421,460/918,664 = 918,664/x
  3. Step 3: Cross multiply
    421,460x = 918,664 × 918,664
  4. Step 4: Simplify right side
    421,460x = 843,943,544,896
  5. Step 5: Solve for x
    x = 843,943,544,896/421,460
  6. Step 6: Final answer
    x = 2,002,428.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.