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Finding the Third Proportional to 633,315 and 946,809

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Solution

The third proportional to 633,315 and 946,809 is: 1,415,484.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,315 : 946,809 = 946,809 : x
  2. Step 2: Convert to fraction form
    633,315/946,809 = 946,809/x
  3. Step 3: Cross multiply
    633,315x = 946,809 × 946,809
  4. Step 4: Simplify right side
    633,315x = 896,447,282,481
  5. Step 5: Solve for x
    x = 896,447,282,481/633,315
  6. Step 6: Final answer
    x = 1,415,484.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.