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Finding the Third Proportional to 459,129 and 973,836

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Solution

The third proportional to 459,129 and 973,836 is: 2,065,555.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,129 : 973,836 = 973,836 : x
  2. Step 2: Convert to fraction form
    459,129/973,836 = 973,836/x
  3. Step 3: Cross multiply
    459,129x = 973,836 × 973,836
  4. Step 4: Simplify right side
    459,129x = 948,356,554,896
  5. Step 5: Solve for x
    x = 948,356,554,896/459,129
  6. Step 6: Final answer
    x = 2,065,555.77

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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.