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Finding the Third Proportional to 460,156 and 988,620

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Solution

The third proportional to 460,156 and 988,620 is: 2,123,996.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,156 : 988,620 = 988,620 : x
  2. Step 2: Convert to fraction form
    460,156/988,620 = 988,620/x
  3. Step 3: Cross multiply
    460,156x = 988,620 × 988,620
  4. Step 4: Simplify right side
    460,156x = 977,369,504,400
  5. Step 5: Solve for x
    x = 977,369,504,400/460,156
  6. Step 6: Final answer
    x = 2,123,996.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.