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Finding the Third Proportional to 459,240 and 973,112

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Solution

The third proportional to 459,240 and 973,112 is: 2,061,987.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,240 : 973,112 = 973,112 : x
  2. Step 2: Convert to fraction form
    459,240/973,112 = 973,112/x
  3. Step 3: Cross multiply
    459,240x = 973,112 × 973,112
  4. Step 4: Simplify right side
    459,240x = 946,946,964,544
  5. Step 5: Solve for x
    x = 946,946,964,544/459,240
  6. Step 6: Final answer
    x = 2,061,987.12

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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.