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Finding the Third Proportional to 918,606 and 1,306,464

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Solution

The third proportional to 918,606 and 1,306,464 is: 1,858,085.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,606 : 1,306,464 = 1,306,464 : x
  2. Step 2: Convert to fraction form
    918,606/1,306,464 = 1,306,464/x
  3. Step 3: Cross multiply
    918,606x = 1,306,464 × 1,306,464
  4. Step 4: Simplify right side
    918,606x = 1,706,848,183,296
  5. Step 5: Solve for x
    x = 1,706,848,183,296/918,606
  6. Step 6: Final answer
    x = 1,858,085.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.