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Finding the Third Proportional to 459,125 and 973,829

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Solution

The third proportional to 459,125 and 973,829 is: 2,065,544.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,125 : 973,829 = 973,829 : x
  2. Step 2: Convert to fraction form
    459,125/973,829 = 973,829/x
  3. Step 3: Cross multiply
    459,125x = 973,829 × 973,829
  4. Step 4: Simplify right side
    459,125x = 948,342,921,241
  5. Step 5: Solve for x
    x = 948,342,921,241/459,125
  6. Step 6: Final answer
    x = 2,065,544.07

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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.