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Finding the Third Proportional to 459,156 and 999,633

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Solution

The third proportional to 459,156 and 999,633 is: 2,176,310.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,156 : 999,633 = 999,633 : x
  2. Step 2: Convert to fraction form
    459,156/999,633 = 999,633/x
  3. Step 3: Cross multiply
    459,156x = 999,633 × 999,633
  4. Step 4: Simplify right side
    459,156x = 999,266,134,689
  5. Step 5: Solve for x
    x = 999,266,134,689/459,156
  6. Step 6: Final answer
    x = 2,176,310.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.