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Finding the Third Proportional to 609,153 and 946,953

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Solution

The third proportional to 609,153 and 946,953 is: 1,472,076.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,153 : 946,953 = 946,953 : x
  2. Step 2: Convert to fraction form
    609,153/946,953 = 946,953/x
  3. Step 3: Cross multiply
    609,153x = 946,953 × 946,953
  4. Step 4: Simplify right side
    609,153x = 896,719,984,209
  5. Step 5: Solve for x
    x = 896,719,984,209/609,153
  6. Step 6: Final answer
    x = 1,472,076.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.