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Finding the Third Proportional to 449,700 and 963,156

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Solution

The third proportional to 449,700 and 963,156 is: 2,062,862.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,700 : 963,156 = 963,156 : x
  2. Step 2: Convert to fraction form
    449,700/963,156 = 963,156/x
  3. Step 3: Cross multiply
    449,700x = 963,156 × 963,156
  4. Step 4: Simplify right side
    449,700x = 927,669,480,336
  5. Step 5: Solve for x
    x = 927,669,480,336/449,700
  6. Step 6: Final answer
    x = 2,062,862.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.