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Finding the Third Proportional to 605,479 and 963,623

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Solution

The third proportional to 605,479 and 963,623 is: 1,533,611.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,479 : 963,623 = 963,623 : x
  2. Step 2: Convert to fraction form
    605,479/963,623 = 963,623/x
  3. Step 3: Cross multiply
    605,479x = 963,623 × 963,623
  4. Step 4: Simplify right side
    605,479x = 928,569,286,129
  5. Step 5: Solve for x
    x = 928,569,286,129/605,479
  6. Step 6: Final answer
    x = 1,533,611.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.