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Finding the Third Proportional to 469,490 and 997,156

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Solution

The third proportional to 469,490 and 997,156 is: 2,117,872.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,490 : 997,156 = 997,156 : x
  2. Step 2: Convert to fraction form
    469,490/997,156 = 997,156/x
  3. Step 3: Cross multiply
    469,490x = 997,156 × 997,156
  4. Step 4: Simplify right side
    469,490x = 994,320,088,336
  5. Step 5: Solve for x
    x = 994,320,088,336/469,490
  6. Step 6: Final answer
    x = 2,117,872.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.