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Finding the Third Proportional to 459,161 and 999,643

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Solution

The third proportional to 459,161 and 999,643 is: 2,176,330.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,161 : 999,643 = 999,643 : x
  2. Step 2: Convert to fraction form
    459,161/999,643 = 999,643/x
  3. Step 3: Cross multiply
    459,161x = 999,643 × 999,643
  4. Step 4: Simplify right side
    459,161x = 999,286,127,449
  5. Step 5: Solve for x
    x = 999,286,127,449/459,161
  6. Step 6: Final answer
    x = 2,176,330.58

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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.